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Finding the Fourth Proportional to 3,951.64, 5,930.52 and 1,488.70

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Solution

The fourth proportional to 3,951.64, 5,930.52 and 1,488.70 is: 2,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.64 : 5,930.52 = 1,488.70 : x
  2. Step 2: Convert to fraction form
    3,951.64/5,930.52 = 1,488.70/x
  3. Step 3: Cross multiply
    3,951.64x = 5,930.52 × 1,488.70
  4. Step 4: Simplify right side
    3,951.64x = 8,828,765.12
  5. Step 5: Solve for x
    x = 8,828,765.12/3,951.64
  6. Step 6: Final answer
    x = 2,234.20

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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.