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Finding the Fourth Proportional to 5,674.52, 8,514.31 and 2,899.73

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Solution

The fourth proportional to 5,674.52, 8,514.31 and 2,899.73 is: 4,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.52 : 8,514.31 = 2,899.73 : x
  2. Step 2: Convert to fraction form
    5,674.52/8,514.31 = 2,899.73/x
  3. Step 3: Cross multiply
    5,674.52x = 8,514.31 × 2,899.73
  4. Step 4: Simplify right side
    5,674.52x = 24,689,200.14
  5. Step 5: Solve for x
    x = 24,689,200.14/5,674.52
  6. Step 6: Final answer
    x = 4,350.89

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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.