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Finding the Fourth Proportional to 5,785.68, 8,679.72 and 2,498.96

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Solution

The fourth proportional to 5,785.68, 8,679.72 and 2,498.96 is: 3,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.68 : 8,679.72 = 2,498.96 : x
  2. Step 2: Convert to fraction form
    5,785.68/8,679.72 = 2,498.96/x
  3. Step 3: Cross multiply
    5,785.68x = 8,679.72 × 2,498.96
  4. Step 4: Simplify right side
    5,785.68x = 21,690,273.09
  5. Step 5: Solve for x
    x = 21,690,273.09/5,785.68
  6. Step 6: Final answer
    x = 3,748.96

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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.