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Finding the Fourth Proportional to 3,901.17, 5,851.95 and 1,952.71

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Solution

The fourth proportional to 3,901.17, 5,851.95 and 1,952.71 is: 2,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.17 : 5,851.95 = 1,952.71 : x
  2. Step 2: Convert to fraction form
    3,901.17/5,851.95 = 1,952.71/x
  3. Step 3: Cross multiply
    3,901.17x = 5,851.95 × 1,952.71
  4. Step 4: Simplify right side
    3,901.17x = 11,427,161.28
  5. Step 5: Solve for x
    x = 11,427,161.28/3,901.17
  6. Step 6: Final answer
    x = 2,929.16

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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.