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Finding the Fourth Proportional to 5,702.67, 8,553.90 and 3,378.63

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Solution

The fourth proportional to 5,702.67, 8,553.90 and 3,378.63 is: 5,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.67 : 8,553.90 = 3,378.63 : x
  2. Step 2: Convert to fraction form
    5,702.67/8,553.90 = 3,378.63/x
  3. Step 3: Cross multiply
    5,702.67x = 8,553.90 × 3,378.63
  4. Step 4: Simplify right side
    5,702.67x = 28,900,463.16
  5. Step 5: Solve for x
    x = 28,900,463.16/5,702.67
  6. Step 6: Final answer
    x = 5,067.88

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1.5x scale

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.