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Finding the Fourth Proportional to 5,708.50, 7,883.11 and 5,397.87

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Solution

The fourth proportional to 5,708.50, 7,883.11 and 5,397.87 is: 7,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.50 : 7,883.11 = 5,397.87 : x
  2. Step 2: Convert to fraction form
    5,708.50/7,883.11 = 5,397.87/x
  3. Step 3: Cross multiply
    5,708.50x = 7,883.11 × 5,397.87
  4. Step 4: Simplify right side
    5,708.50x = 42,552,002.98
  5. Step 5: Solve for x
    x = 42,552,002.98/5,708.50
  6. Step 6: Final answer
    x = 7,454.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.