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Finding the Fourth Proportional to 6,250.60, 9,352.43 and 3,742.57

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Solution

The fourth proportional to 6,250.60, 9,352.43 and 3,742.57 is: 5,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.60 : 9,352.43 = 3,742.57 : x
  2. Step 2: Convert to fraction form
    6,250.60/9,352.43 = 3,742.57/x
  3. Step 3: Cross multiply
    6,250.60x = 9,352.43 × 3,742.57
  4. Step 4: Simplify right side
    6,250.60x = 35,002,123.95
  5. Step 5: Solve for x
    x = 35,002,123.95/6,250.60
  6. Step 6: Final answer
    x = 5,599.80

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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.