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Finding the Fourth Proportional to 3,615.12, 5,422.44 and 1,149.88

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Solution

The fourth proportional to 3,615.12, 5,422.44 and 1,149.88 is: 1,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.12 : 5,422.44 = 1,149.88 : x
  2. Step 2: Convert to fraction form
    3,615.12/5,422.44 = 1,149.88/x
  3. Step 3: Cross multiply
    3,615.12x = 5,422.44 × 1,149.88
  4. Step 4: Simplify right side
    3,615.12x = 6,235,155.31
  5. Step 5: Solve for x
    x = 6,235,155.31/3,615.12
  6. Step 6: Final answer
    x = 1,724.74

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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.