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Finding the Fourth Proportional to 5,905.31, 8,149.13 and 3,252.71

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Solution

The fourth proportional to 5,905.31, 8,149.13 and 3,252.71 is: 4,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.31 : 8,149.13 = 3,252.71 : x
  2. Step 2: Convert to fraction form
    5,905.31/8,149.13 = 3,252.71/x
  3. Step 3: Cross multiply
    5,905.31x = 8,149.13 × 3,252.71
  4. Step 4: Simplify right side
    5,905.31x = 26,506,740.38
  5. Step 5: Solve for x
    x = 26,506,740.38/5,905.31
  6. Step 6: Final answer
    x = 4,488.63

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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.