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Finding the Fourth Proportional to 4,002.72, 6,001.20 and 1,536.96

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Solution

The fourth proportional to 4,002.72, 6,001.20 and 1,536.96 is: 2,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.72 : 6,001.20 = 1,536.96 : x
  2. Step 2: Convert to fraction form
    4,002.72/6,001.20 = 1,536.96/x
  3. Step 3: Cross multiply
    4,002.72x = 6,001.20 × 1,536.96
  4. Step 4: Simplify right side
    4,002.72x = 9,223,604.35
  5. Step 5: Solve for x
    x = 9,223,604.35/4,002.72
  6. Step 6: Final answer
    x = 2,304.33

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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.