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Finding the Fourth Proportional to 5,957.97, 8,937.02 and 1,575.38

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Solution

The fourth proportional to 5,957.97, 8,937.02 and 1,575.38 is: 2,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.97 : 8,937.02 = 1,575.38 : x
  2. Step 2: Convert to fraction form
    5,957.97/8,937.02 = 1,575.38/x
  3. Step 3: Cross multiply
    5,957.97x = 8,937.02 × 1,575.38
  4. Step 4: Simplify right side
    5,957.97x = 14,079,228.85
  5. Step 5: Solve for x
    x = 14,079,228.85/5,957.97
  6. Step 6: Final answer
    x = 2,363.09

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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.