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Finding the Fourth Proportional to 5,701.38, 7,867.90 and 3,217.38

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Solution

The fourth proportional to 5,701.38, 7,867.90 and 3,217.38 is: 4,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.38 : 7,867.90 = 3,217.38 : x
  2. Step 2: Convert to fraction form
    5,701.38/7,867.90 = 3,217.38/x
  3. Step 3: Cross multiply
    5,701.38x = 7,867.90 × 3,217.38
  4. Step 4: Simplify right side
    5,701.38x = 25,314,024.10
  5. Step 5: Solve for x
    x = 25,314,024.10/5,701.38
  6. Step 6: Final answer
    x = 4,439.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.