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Finding the Fourth Proportional to 5,703.02, 7,870.20 and 3,345.20

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Solution

The fourth proportional to 5,703.02, 7,870.20 and 3,345.20 is: 4,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.02 : 7,870.20 = 3,345.20 : x
  2. Step 2: Convert to fraction form
    5,703.02/7,870.20 = 3,345.20/x
  3. Step 3: Cross multiply
    5,703.02x = 7,870.20 × 3,345.20
  4. Step 4: Simplify right side
    5,703.02x = 26,327,393.04
  5. Step 5: Solve for x
    x = 26,327,393.04/5,703.02
  6. Step 6: Final answer
    x = 4,616.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.