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Finding the Fourth Proportional to 3,142.65, 4,700.16 and 2,366.31

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Solution

The fourth proportional to 3,142.65, 4,700.16 and 2,366.31 is: 3,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.65 : 4,700.16 = 2,366.31 : x
  2. Step 2: Convert to fraction form
    3,142.65/4,700.16 = 2,366.31/x
  3. Step 3: Cross multiply
    3,142.65x = 4,700.16 × 2,366.31
  4. Step 4: Simplify right side
    3,142.65x = 11,122,035.61
  5. Step 5: Solve for x
    x = 11,122,035.61/3,142.65
  6. Step 6: Final answer
    x = 3,539.06

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