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Finding the Fourth Proportional to 5,691.84, 8,541 and 5,647.92

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Solution

The fourth proportional to 5,691.84, 8,541 and 5,647.92 is: 8,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.84 : 8,541 = 5,647.92 : x
  2. Step 2: Convert to fraction form
    5,691.84/8,541 = 5,647.92/x
  3. Step 3: Cross multiply
    5,691.84x = 8,541 × 5,647.92
  4. Step 4: Simplify right side
    5,691.84x = 48,238,884.72
  5. Step 5: Solve for x
    x = 48,238,884.72/5,691.84
  6. Step 6: Final answer
    x = 8,475.09

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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.