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Finding the Fourth Proportional to 4,200.90, 6,301.35 and 3,747.30

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Solution

The fourth proportional to 4,200.90, 6,301.35 and 3,747.30 is: 5,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.90 : 6,301.35 = 3,747.30 : x
  2. Step 2: Convert to fraction form
    4,200.90/6,301.35 = 3,747.30/x
  3. Step 3: Cross multiply
    4,200.90x = 6,301.35 × 3,747.30
  4. Step 4: Simplify right side
    4,200.90x = 23,613,048.86
  5. Step 5: Solve for x
    x = 23,613,048.86/4,200.90
  6. Step 6: Final answer
    x = 5,620.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.