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Finding the Fourth Proportional to 5,537.92, 8,308.16 and 2,460.80

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Solution

The fourth proportional to 5,537.92, 8,308.16 and 2,460.80 is: 3,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.92 : 8,308.16 = 2,460.80 : x
  2. Step 2: Convert to fraction form
    5,537.92/8,308.16 = 2,460.80/x
  3. Step 3: Cross multiply
    5,537.92x = 8,308.16 × 2,460.80
  4. Step 4: Simplify right side
    5,537.92x = 20,444,720.13
  5. Step 5: Solve for x
    x = 20,444,720.13/5,537.92
  6. Step 6: Final answer
    x = 3,691.77

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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.