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Finding the Fourth Proportional to 5,645.14, 8,469.74 and 2,524.89

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Solution

The fourth proportional to 5,645.14, 8,469.74 and 2,524.89 is: 3,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.14 : 8,469.74 = 2,524.89 : x
  2. Step 2: Convert to fraction form
    5,645.14/8,469.74 = 2,524.89/x
  3. Step 3: Cross multiply
    5,645.14x = 8,469.74 × 2,524.89
  4. Step 4: Simplify right side
    5,645.14x = 21,385,161.83
  5. Step 5: Solve for x
    x = 21,385,161.83/5,645.14
  6. Step 6: Final answer
    x = 3,788.24

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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.