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Finding the Fourth Proportional to 3,732.68, 5,599.70 and 1,267.28

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Solution

The fourth proportional to 3,732.68, 5,599.70 and 1,267.28 is: 1,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.68 : 5,599.70 = 1,267.28 : x
  2. Step 2: Convert to fraction form
    3,732.68/5,599.70 = 1,267.28/x
  3. Step 3: Cross multiply
    3,732.68x = 5,599.70 × 1,267.28
  4. Step 4: Simplify right side
    3,732.68x = 7,096,379.23
  5. Step 5: Solve for x
    x = 7,096,379.23/3,732.68
  6. Step 6: Final answer
    x = 1,901.15

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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.