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Finding the Fourth Proportional to 6,358.40, 9,524.52 and 3,755

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Solution

The fourth proportional to 6,358.40, 9,524.52 and 3,755 is: 5,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.40 : 9,524.52 = 3,755 : x
  2. Step 2: Convert to fraction form
    6,358.40/9,524.52 = 3,755/x
  3. Step 3: Cross multiply
    6,358.40x = 9,524.52 × 3,755
  4. Step 4: Simplify right side
    6,358.40x = 35,764,572.60
  5. Step 5: Solve for x
    x = 35,764,572.60/6,358.40
  6. Step 6: Final answer
    x = 5,624.78

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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.