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Finding the Fourth Proportional to 5,471.16, 7,547.42 and 3,702.12

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Solution

The fourth proportional to 5,471.16, 7,547.42 and 3,702.12 is: 5,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.16 : 7,547.42 = 3,702.12 : x
  2. Step 2: Convert to fraction form
    5,471.16/7,547.42 = 3,702.12/x
  3. Step 3: Cross multiply
    5,471.16x = 7,547.42 × 3,702.12
  4. Step 4: Simplify right side
    5,471.16x = 27,941,454.53
  5. Step 5: Solve for x
    x = 27,941,454.53/5,471.16
  6. Step 6: Final answer
    x = 5,107.04

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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.