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Finding the Fourth Proportional to 5,470.52, 7,549.14 and 3,080.61

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Solution

The fourth proportional to 5,470.52, 7,549.14 and 3,080.61 is: 4,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.52 : 7,549.14 = 3,080.61 : x
  2. Step 2: Convert to fraction form
    5,470.52/7,549.14 = 3,080.61/x
  3. Step 3: Cross multiply
    5,470.52x = 7,549.14 × 3,080.61
  4. Step 4: Simplify right side
    5,470.52x = 23,255,940.77
  5. Step 5: Solve for x
    x = 23,255,940.77/5,470.52
  6. Step 6: Final answer
    x = 4,251.14

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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.