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Finding the Fourth Proportional to 5,964.46, 8,948.13 and 2,502.70

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Solution

The fourth proportional to 5,964.46, 8,948.13 and 2,502.70 is: 3,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.46 : 8,948.13 = 2,502.70 : x
  2. Step 2: Convert to fraction form
    5,964.46/8,948.13 = 2,502.70/x
  3. Step 3: Cross multiply
    5,964.46x = 8,948.13 × 2,502.70
  4. Step 4: Simplify right side
    5,964.46x = 22,394,484.95
  5. Step 5: Solve for x
    x = 22,394,484.95/5,964.46
  6. Step 6: Final answer
    x = 3,754.65

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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.