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Finding the Fourth Proportional to 5,541.92, 7,646.16 and 3,883.04

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Solution

The fourth proportional to 5,541.92, 7,646.16 and 3,883.04 is: 5,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.92 : 7,646.16 = 3,883.04 : x
  2. Step 2: Convert to fraction form
    5,541.92/7,646.16 = 3,883.04/x
  3. Step 3: Cross multiply
    5,541.92x = 7,646.16 × 3,883.04
  4. Step 4: Simplify right side
    5,541.92x = 29,690,345.13
  5. Step 5: Solve for x
    x = 29,690,345.13/5,541.92
  6. Step 6: Final answer
    x = 5,357.41

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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.