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Finding the Fourth Proportional to 3,869.40, 5,339.52 and 2,472

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Solution

The fourth proportional to 3,869.40, 5,339.52 and 2,472 is: 3,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.40 : 5,339.52 = 2,472 : x
  2. Step 2: Convert to fraction form
    3,869.40/5,339.52 = 2,472/x
  3. Step 3: Cross multiply
    3,869.40x = 5,339.52 × 2,472
  4. Step 4: Simplify right side
    3,869.40x = 13,199,293.44
  5. Step 5: Solve for x
    x = 13,199,293.44/3,869.40
  6. Step 6: Final answer
    x = 3,411.20

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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.