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Finding the Fourth Proportional to 3,569.42, 5,352.21 and 1,103.58

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Solution

The fourth proportional to 3,569.42, 5,352.21 and 1,103.58 is: 1,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.42 : 5,352.21 = 1,103.58 : x
  2. Step 2: Convert to fraction form
    3,569.42/5,352.21 = 1,103.58/x
  3. Step 3: Cross multiply
    3,569.42x = 5,352.21 × 1,103.58
  4. Step 4: Simplify right side
    3,569.42x = 5,906,591.91
  5. Step 5: Solve for x
    x = 5,906,591.91/3,569.42
  6. Step 6: Final answer
    x = 1,654.78

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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.