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Finding the Fourth Proportional to 5,701.53, 8,553.19 and 2,414.64

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Solution

The fourth proportional to 5,701.53, 8,553.19 and 2,414.64 is: 3,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.53 : 8,553.19 = 2,414.64 : x
  2. Step 2: Convert to fraction form
    5,701.53/8,553.19 = 2,414.64/x
  3. Step 3: Cross multiply
    5,701.53x = 8,553.19 × 2,414.64
  4. Step 4: Simplify right side
    5,701.53x = 20,652,874.70
  5. Step 5: Solve for x
    x = 20,652,874.70/5,701.53
  6. Step 6: Final answer
    x = 3,622.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.