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Finding the Fourth Proportional to 3,766.56, 5,650.24 and 1,134.08

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Solution

The fourth proportional to 3,766.56, 5,650.24 and 1,134.08 is: 1,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.56 : 5,650.24 = 1,134.08 : x
  2. Step 2: Convert to fraction form
    3,766.56/5,650.24 = 1,134.08/x
  3. Step 3: Cross multiply
    3,766.56x = 5,650.24 × 1,134.08
  4. Step 4: Simplify right side
    3,766.56x = 6,407,824.18
  5. Step 5: Solve for x
    x = 6,407,824.18/3,766.56
  6. Step 6: Final answer
    x = 1,701.24

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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.