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Finding the Fourth Proportional to 5,911.52, 8,841.13 and 5,257.98

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Solution

The fourth proportional to 5,911.52, 8,841.13 and 5,257.98 is: 7,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.52 : 8,841.13 = 5,257.98 : x
  2. Step 2: Convert to fraction form
    5,911.52/8,841.13 = 5,257.98/x
  3. Step 3: Cross multiply
    5,911.52x = 8,841.13 × 5,257.98
  4. Step 4: Simplify right side
    5,911.52x = 46,486,471.57
  5. Step 5: Solve for x
    x = 46,486,471.57/5,911.52
  6. Step 6: Final answer
    x = 7,863.72

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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.