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Finding the Fourth Proportional to 5,454.83, 8,182.67 and 1,757.17

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Solution

The fourth proportional to 5,454.83, 8,182.67 and 1,757.17 is: 2,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.83 : 8,182.67 = 1,757.17 : x
  2. Step 2: Convert to fraction form
    5,454.83/8,182.67 = 1,757.17/x
  3. Step 3: Cross multiply
    5,454.83x = 8,182.67 × 1,757.17
  4. Step 4: Simplify right side
    5,454.83x = 14,378,330.56
  5. Step 5: Solve for x
    x = 14,378,330.56/5,454.83
  6. Step 6: Final answer
    x = 2,635.89

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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.