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Finding the Fourth Proportional to 3,473.52, 5,202.84 and 3,174.60

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Solution

The fourth proportional to 3,473.52, 5,202.84 and 3,174.60 is: 4,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.52 : 5,202.84 = 3,174.60 : x
  2. Step 2: Convert to fraction form
    3,473.52/5,202.84 = 3,174.60/x
  3. Step 3: Cross multiply
    3,473.52x = 5,202.84 × 3,174.60
  4. Step 4: Simplify right side
    3,473.52x = 16,516,935.86
  5. Step 5: Solve for x
    x = 16,516,935.86/3,473.52
  6. Step 6: Final answer
    x = 4,755.10

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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.