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Finding the Fourth Proportional to 5,761.16, 8,634.54 and 2,470.43

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Solution

The fourth proportional to 5,761.16, 8,634.54 and 2,470.43 is: 3,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.16 : 8,634.54 = 2,470.43 : x
  2. Step 2: Convert to fraction form
    5,761.16/8,634.54 = 2,470.43/x
  3. Step 3: Cross multiply
    5,761.16x = 8,634.54 × 2,470.43
  4. Step 4: Simplify right side
    5,761.16x = 21,331,048.24
  5. Step 5: Solve for x
    x = 21,331,048.24/5,761.16
  6. Step 6: Final answer
    x = 3,702.56

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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.