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Finding the Fourth Proportional to 3,635.05, 5,452.54 and 1,002.58

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Solution

The fourth proportional to 3,635.05, 5,452.54 and 1,002.58 is: 1,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.05 : 5,452.54 = 1,002.58 : x
  2. Step 2: Convert to fraction form
    3,635.05/5,452.54 = 1,002.58/x
  3. Step 3: Cross multiply
    3,635.05x = 5,452.54 × 1,002.58
  4. Step 4: Simplify right side
    3,635.05x = 5,466,607.55
  5. Step 5: Solve for x
    x = 5,466,607.55/3,635.05
  6. Step 6: Final answer
    x = 1,503.86

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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.