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Finding the Fourth Proportional to 3,732.75, 5,599.99 and 1,267.57

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Solution

The fourth proportional to 3,732.75, 5,599.99 and 1,267.57 is: 1,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.75 : 5,599.99 = 1,267.57 : x
  2. Step 2: Convert to fraction form
    3,732.75/5,599.99 = 1,267.57/x
  3. Step 3: Cross multiply
    3,732.75x = 5,599.99 × 1,267.57
  4. Step 4: Simplify right side
    3,732.75x = 7,098,367.57
  5. Step 5: Solve for x
    x = 7,098,367.57/3,732.75
  6. Step 6: Final answer
    x = 1,901.65

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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.