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Finding the Fourth Proportional to 3,632.59, 5,449.61 and 1,167.22

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Solution

The fourth proportional to 3,632.59, 5,449.61 and 1,167.22 is: 1,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.59 : 5,449.61 = 1,167.22 : x
  2. Step 2: Convert to fraction form
    3,632.59/5,449.61 = 1,167.22/x
  3. Step 3: Cross multiply
    3,632.59x = 5,449.61 × 1,167.22
  4. Step 4: Simplify right side
    3,632.59x = 6,360,893.78
  5. Step 5: Solve for x
    x = 6,360,893.78/3,632.59
  6. Step 6: Final answer
    x = 1,751.06

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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.