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Finding the Fourth Proportional to 3,505.20, 5,257.80 and 3,480.90

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Solution

The fourth proportional to 3,505.20, 5,257.80 and 3,480.90 is: 5,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.20 : 5,257.80 = 3,480.90 : x
  2. Step 2: Convert to fraction form
    3,505.20/5,257.80 = 3,480.90/x
  3. Step 3: Cross multiply
    3,505.20x = 5,257.80 × 3,480.90
  4. Step 4: Simplify right side
    3,505.20x = 18,301,876.02
  5. Step 5: Solve for x
    x = 18,301,876.02/3,505.20
  6. Step 6: Final answer
    x = 5,221.35

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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.