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Finding the Fourth Proportional to 5,703.12, 7,870.50 and 3,345.48

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Solution

The fourth proportional to 5,703.12, 7,870.50 and 3,345.48 is: 4,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.12 : 7,870.50 = 3,345.48 : x
  2. Step 2: Convert to fraction form
    5,703.12/7,870.50 = 3,345.48/x
  3. Step 3: Cross multiply
    5,703.12x = 7,870.50 × 3,345.48
  4. Step 4: Simplify right side
    5,703.12x = 26,330,600.34
  5. Step 5: Solve for x
    x = 26,330,600.34/5,703.12
  6. Step 6: Final answer
    x = 4,616.88

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