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Finding the Fourth Proportional to 5,452.40, 8,177.81 and 1,754.15

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Solution

The fourth proportional to 5,452.40, 8,177.81 and 1,754.15 is: 2,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.40 : 8,177.81 = 1,754.15 : x
  2. Step 2: Convert to fraction form
    5,452.40/8,177.81 = 1,754.15/x
  3. Step 3: Cross multiply
    5,452.40x = 8,177.81 × 1,754.15
  4. Step 4: Simplify right side
    5,452.40x = 14,345,055.75
  5. Step 5: Solve for x
    x = 14,345,055.75/5,452.40
  6. Step 6: Final answer
    x = 2,630.96

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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.