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Finding the Fourth Proportional to 3,932.54, 5,898.14 and 1,158.90

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Solution

The fourth proportional to 3,932.54, 5,898.14 and 1,158.90 is: 1,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.54 : 5,898.14 = 1,158.90 : x
  2. Step 2: Convert to fraction form
    3,932.54/5,898.14 = 1,158.90/x
  3. Step 3: Cross multiply
    3,932.54x = 5,898.14 × 1,158.90
  4. Step 4: Simplify right side
    3,932.54x = 6,835,354.45
  5. Step 5: Solve for x
    x = 6,835,354.45/3,932.54
  6. Step 6: Final answer
    x = 1,738.15

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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.