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Finding the Fourth Proportional to 3,622.55, 5,429.78 and 1,542.20

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Solution

The fourth proportional to 3,622.55, 5,429.78 and 1,542.20 is: 2,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.55 : 5,429.78 = 1,542.20 : x
  2. Step 2: Convert to fraction form
    3,622.55/5,429.78 = 1,542.20/x
  3. Step 3: Cross multiply
    3,622.55x = 5,429.78 × 1,542.20
  4. Step 4: Simplify right side
    3,622.55x = 8,373,799.01
  5. Step 5: Solve for x
    x = 8,373,799.01/3,622.55
  6. Step 6: Final answer
    x = 2,311.58

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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.