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Finding the Fourth Proportional to 3,572.62, 4,929.75 and 2,001

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Solution

The fourth proportional to 3,572.62, 4,929.75 and 2,001 is: 2,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.62 : 4,929.75 = 2,001 : x
  2. Step 2: Convert to fraction form
    3,572.62/4,929.75 = 2,001/x
  3. Step 3: Cross multiply
    3,572.62x = 4,929.75 × 2,001
  4. Step 4: Simplify right side
    3,572.62x = 9,864,429.75
  5. Step 5: Solve for x
    x = 9,864,429.75/3,572.62
  6. Step 6: Final answer
    x = 2,761.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.