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Finding the Fourth Proportional to 5,309.20, 7,963.80 and 5,066.20

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Solution

The fourth proportional to 5,309.20, 7,963.80 and 5,066.20 is: 7,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.20 : 7,963.80 = 5,066.20 : x
  2. Step 2: Convert to fraction form
    5,309.20/7,963.80 = 5,066.20/x
  3. Step 3: Cross multiply
    5,309.20x = 7,963.80 × 5,066.20
  4. Step 4: Simplify right side
    5,309.20x = 40,346,203.56
  5. Step 5: Solve for x
    x = 40,346,203.56/5,309.20
  6. Step 6: Final answer
    x = 7,599.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.