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Finding the Fourth Proportional to 5,578.56, 8,350.56 and 4,470.48

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Solution

The fourth proportional to 5,578.56, 8,350.56 and 4,470.48 is: 6,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.56 : 8,350.56 = 4,470.48 : x
  2. Step 2: Convert to fraction form
    5,578.56/8,350.56 = 4,470.48/x
  3. Step 3: Cross multiply
    5,578.56x = 8,350.56 × 4,470.48
  4. Step 4: Simplify right side
    5,578.56x = 37,331,011.47
  5. Step 5: Solve for x
    x = 37,331,011.47/5,578.56
  6. Step 6: Final answer
    x = 6,691.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.