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Finding the Fourth Proportional to 3,732.67, 5,599.69 and 1,267.36

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Solution

The fourth proportional to 3,732.67, 5,599.69 and 1,267.36 is: 1,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.67 : 5,599.69 = 1,267.36 : x
  2. Step 2: Convert to fraction form
    3,732.67/5,599.69 = 1,267.36/x
  3. Step 3: Cross multiply
    3,732.67x = 5,599.69 × 1,267.36
  4. Step 4: Simplify right side
    3,732.67x = 7,096,816.78
  5. Step 5: Solve for x
    x = 7,096,816.78/3,732.67
  6. Step 6: Final answer
    x = 1,901.27

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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.