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Finding the Fourth Proportional to 6,542.08, 9,025.92 and 4,057.60

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Solution

The fourth proportional to 6,542.08, 9,025.92 and 4,057.60 is: 5,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.08 : 9,025.92 = 4,057.60 : x
  2. Step 2: Convert to fraction form
    6,542.08/9,025.92 = 4,057.60/x
  3. Step 3: Cross multiply
    6,542.08x = 9,025.92 × 4,057.60
  4. Step 4: Simplify right side
    6,542.08x = 36,623,572.99
  5. Step 5: Solve for x
    x = 36,623,572.99/6,542.08
  6. Step 6: Final answer
    x = 5,598.15

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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.