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Finding the Fourth Proportional to 3,660.96, 5,493.60 and 1,354.08

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Solution

The fourth proportional to 3,660.96, 5,493.60 and 1,354.08 is: 2,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.96 : 5,493.60 = 1,354.08 : x
  2. Step 2: Convert to fraction form
    3,660.96/5,493.60 = 1,354.08/x
  3. Step 3: Cross multiply
    3,660.96x = 5,493.60 × 1,354.08
  4. Step 4: Simplify right side
    3,660.96x = 7,438,773.89
  5. Step 5: Solve for x
    x = 7,438,773.89/3,660.96
  6. Step 6: Final answer
    x = 2,031.92

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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.