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Finding the Fourth Proportional to 5,804.17, 8,691.67 and 4,159.87

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Solution

The fourth proportional to 5,804.17, 8,691.67 and 4,159.87 is: 6,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.17 : 8,691.67 = 4,159.87 : x
  2. Step 2: Convert to fraction form
    5,804.17/8,691.67 = 4,159.87/x
  3. Step 3: Cross multiply
    5,804.17x = 8,691.67 × 4,159.87
  4. Step 4: Simplify right side
    5,804.17x = 36,156,217.28
  5. Step 5: Solve for x
    x = 36,156,217.28/5,804.17
  6. Step 6: Final answer
    x = 6,229.35

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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.