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Finding the Fourth Proportional to 5,454.23, 8,182.68 and 1,756.87

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Solution

The fourth proportional to 5,454.23, 8,182.68 and 1,756.87 is: 2,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.23 : 8,182.68 = 1,756.87 : x
  2. Step 2: Convert to fraction form
    5,454.23/8,182.68 = 1,756.87/x
  3. Step 3: Cross multiply
    5,454.23x = 8,182.68 × 1,756.87
  4. Step 4: Simplify right side
    5,454.23x = 14,375,884.55
  5. Step 5: Solve for x
    x = 14,375,884.55/5,454.23
  6. Step 6: Final answer
    x = 2,635.73

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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.