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Finding the Fourth Proportional to 3,387.68, 5,082.35 and 1,166.55

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Solution

The fourth proportional to 3,387.68, 5,082.35 and 1,166.55 is: 1,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.68 : 5,082.35 = 1,166.55 : x
  2. Step 2: Convert to fraction form
    3,387.68/5,082.35 = 1,166.55/x
  3. Step 3: Cross multiply
    3,387.68x = 5,082.35 × 1,166.55
  4. Step 4: Simplify right side
    3,387.68x = 5,928,818.31
  5. Step 5: Solve for x
    x = 5,928,818.31/3,387.68
  6. Step 6: Final answer
    x = 1,750.11

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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.