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Finding the Fourth Proportional to 5,682.98, 8,513.13 and 4,514.96

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Solution

The fourth proportional to 5,682.98, 8,513.13 and 4,514.96 is: 6,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.98 : 8,513.13 = 4,514.96 : x
  2. Step 2: Convert to fraction form
    5,682.98/8,513.13 = 4,514.96/x
  3. Step 3: Cross multiply
    5,682.98x = 8,513.13 × 4,514.96
  4. Step 4: Simplify right side
    5,682.98x = 38,436,441.42
  5. Step 5: Solve for x
    x = 38,436,441.42/5,682.98
  6. Step 6: Final answer
    x = 6,763.43

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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.