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Finding the Fourth Proportional to 5,646.13, 8,469.19 and 1,542.13

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Solution

The fourth proportional to 5,646.13, 8,469.19 and 1,542.13 is: 2,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.13 : 8,469.19 = 1,542.13 : x
  2. Step 2: Convert to fraction form
    5,646.13/8,469.19 = 1,542.13/x
  3. Step 3: Cross multiply
    5,646.13x = 8,469.19 × 1,542.13
  4. Step 4: Simplify right side
    5,646.13x = 13,060,591.97
  5. Step 5: Solve for x
    x = 13,060,591.97/5,646.13
  6. Step 6: Final answer
    x = 2,313.19

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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.