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Finding the Fourth Proportional to 3,648.52, 5,474.04 and 2,002.96

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Solution

The fourth proportional to 3,648.52, 5,474.04 and 2,002.96 is: 3,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.52 : 5,474.04 = 2,002.96 : x
  2. Step 2: Convert to fraction form
    3,648.52/5,474.04 = 2,002.96/x
  3. Step 3: Cross multiply
    3,648.52x = 5,474.04 × 2,002.96
  4. Step 4: Simplify right side
    3,648.52x = 10,964,283.16
  5. Step 5: Solve for x
    x = 10,964,283.16/3,648.52
  6. Step 6: Final answer
    x = 3,005.13

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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.