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Finding the Fourth Proportional to 3,627.79, 5,439.04 and 1,161.20

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Solution

The fourth proportional to 3,627.79, 5,439.04 and 1,161.20 is: 1,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.79 : 5,439.04 = 1,161.20 : x
  2. Step 2: Convert to fraction form
    3,627.79/5,439.04 = 1,161.20/x
  3. Step 3: Cross multiply
    3,627.79x = 5,439.04 × 1,161.20
  4. Step 4: Simplify right side
    3,627.79x = 6,315,823.94
  5. Step 5: Solve for x
    x = 6,315,823.94/3,627.79
  6. Step 6: Final answer
    x = 1,740.96

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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.