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Finding the Fourth Proportional to 3,445.80, 5,174.52 and 3,270.48

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Solution

The fourth proportional to 3,445.80, 5,174.52 and 3,270.48 is: 4,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.80 : 5,174.52 = 3,270.48 : x
  2. Step 2: Convert to fraction form
    3,445.80/5,174.52 = 3,270.48/x
  3. Step 3: Cross multiply
    3,445.80x = 5,174.52 × 3,270.48
  4. Step 4: Simplify right side
    3,445.80x = 16,923,164.17
  5. Step 5: Solve for x
    x = 16,923,164.17/3,445.80
  6. Step 6: Final answer
    x = 4,911.24

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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.