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Finding the Fourth Proportional to 5,452.97, 8,180.86 and 1,557.68

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Solution

The fourth proportional to 5,452.97, 8,180.86 and 1,557.68 is: 2,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.97 : 8,180.86 = 1,557.68 : x
  2. Step 2: Convert to fraction form
    5,452.97/8,180.86 = 1,557.68/x
  3. Step 3: Cross multiply
    5,452.97x = 8,180.86 × 1,557.68
  4. Step 4: Simplify right side
    5,452.97x = 12,743,117.21
  5. Step 5: Solve for x
    x = 12,743,117.21/5,452.97
  6. Step 6: Final answer
    x = 2,336.92

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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.