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Finding the Fourth Proportional to 3,665.63, 5,498.78 and 1,033.18

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Solution

The fourth proportional to 3,665.63, 5,498.78 and 1,033.18 is: 1,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.63 : 5,498.78 = 1,033.18 : x
  2. Step 2: Convert to fraction form
    3,665.63/5,498.78 = 1,033.18/x
  3. Step 3: Cross multiply
    3,665.63x = 5,498.78 × 1,033.18
  4. Step 4: Simplify right side
    3,665.63x = 5,681,229.52
  5. Step 5: Solve for x
    x = 5,681,229.52/3,665.63
  6. Step 6: Final answer
    x = 1,549.86

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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.