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Finding the Fourth Proportional to 4,909.56, 7,342.14 and 3,150.20

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Solution

The fourth proportional to 4,909.56, 7,342.14 and 3,150.20 is: 4,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.56 : 7,342.14 = 3,150.20 : x
  2. Step 2: Convert to fraction form
    4,909.56/7,342.14 = 3,150.20/x
  3. Step 3: Cross multiply
    4,909.56x = 7,342.14 × 3,150.20
  4. Step 4: Simplify right side
    4,909.56x = 23,129,209.43
  5. Step 5: Solve for x
    x = 23,129,209.43/4,909.56
  6. Step 6: Final answer
    x = 4,711.06

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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.