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Finding the Fourth Proportional to 3,632.46, 5,447.06 and 1,034.78

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Solution

The fourth proportional to 3,632.46, 5,447.06 and 1,034.78 is: 1,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.46 : 5,447.06 = 1,034.78 : x
  2. Step 2: Convert to fraction form
    3,632.46/5,447.06 = 1,034.78/x
  3. Step 3: Cross multiply
    3,632.46x = 5,447.06 × 1,034.78
  4. Step 4: Simplify right side
    3,632.46x = 5,636,508.75
  5. Step 5: Solve for x
    x = 5,636,508.75/3,632.46
  6. Step 6: Final answer
    x = 1,551.71

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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.