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Finding the Fourth Proportional to 5,854.92, 8,072.87 and 4,732.38

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Solution

The fourth proportional to 5,854.92, 8,072.87 and 4,732.38 is: 6,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.92 : 8,072.87 = 4,732.38 : x
  2. Step 2: Convert to fraction form
    5,854.92/8,072.87 = 4,732.38/x
  3. Step 3: Cross multiply
    5,854.92x = 8,072.87 × 4,732.38
  4. Step 4: Simplify right side
    5,854.92x = 38,203,864.87
  5. Step 5: Solve for x
    x = 38,203,864.87/5,854.92
  6. Step 6: Final answer
    x = 6,525.09

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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.