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Finding the Fourth Proportional to 3,452.58, 5,174.34 and 1,577.10

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Solution

The fourth proportional to 3,452.58, 5,174.34 and 1,577.10 is: 2,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.58 : 5,174.34 = 1,577.10 : x
  2. Step 2: Convert to fraction form
    3,452.58/5,174.34 = 1,577.10/x
  3. Step 3: Cross multiply
    3,452.58x = 5,174.34 × 1,577.10
  4. Step 4: Simplify right side
    3,452.58x = 8,160,451.61
  5. Step 5: Solve for x
    x = 8,160,451.61/3,452.58
  6. Step 6: Final answer
    x = 2,363.58

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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.