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Finding the Fourth Proportional to 3,757.71, 5,185.04 and 2,359.47

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Solution

The fourth proportional to 3,757.71, 5,185.04 and 2,359.47 is: 3,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.71 : 5,185.04 = 2,359.47 : x
  2. Step 2: Convert to fraction form
    3,757.71/5,185.04 = 2,359.47/x
  3. Step 3: Cross multiply
    3,757.71x = 5,185.04 × 2,359.47
  4. Step 4: Simplify right side
    3,757.71x = 12,233,934.53
  5. Step 5: Solve for x
    x = 12,233,934.53/3,757.71
  6. Step 6: Final answer
    x = 3,255.69

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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.