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Finding the Fourth Proportional to 5,684.25, 8,524.71 and 2,397.27

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Solution

The fourth proportional to 5,684.25, 8,524.71 and 2,397.27 is: 3,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.25 : 8,524.71 = 2,397.27 : x
  2. Step 2: Convert to fraction form
    5,684.25/8,524.71 = 2,397.27/x
  3. Step 3: Cross multiply
    5,684.25x = 8,524.71 × 2,397.27
  4. Step 4: Simplify right side
    5,684.25x = 20,436,031.54
  5. Step 5: Solve for x
    x = 20,436,031.54/5,684.25
  6. Step 6: Final answer
    x = 3,595.20

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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.