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Finding the Fourth Proportional to 5,735.38, 8,594.82 and 4,414

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Solution

The fourth proportional to 5,735.38, 8,594.82 and 4,414 is: 6,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.38 : 8,594.82 = 4,414 : x
  2. Step 2: Convert to fraction form
    5,735.38/8,594.82 = 4,414/x
  3. Step 3: Cross multiply
    5,735.38x = 8,594.82 × 4,414
  4. Step 4: Simplify right side
    5,735.38x = 37,937,535.48
  5. Step 5: Solve for x
    x = 37,937,535.48/5,735.38
  6. Step 6: Final answer
    x = 6,614.65

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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.