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Finding the Fourth Proportional to 5,470.57, 7,549.29 and 3,112.66

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Solution

The fourth proportional to 5,470.57, 7,549.29 and 3,112.66 is: 4,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.57 : 7,549.29 = 3,112.66 : x
  2. Step 2: Convert to fraction form
    5,470.57/7,549.29 = 3,112.66/x
  3. Step 3: Cross multiply
    5,470.57x = 7,549.29 × 3,112.66
  4. Step 4: Simplify right side
    5,470.57x = 23,498,373.01
  5. Step 5: Solve for x
    x = 23,498,373.01/5,470.57
  6. Step 6: Final answer
    x = 4,295.42

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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.