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Finding the Fourth Proportional to 5,223.43, 7,826.92 and 3,138.49

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Solution

The fourth proportional to 5,223.43, 7,826.92 and 3,138.49 is: 4,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.43 : 7,826.92 = 3,138.49 : x
  2. Step 2: Convert to fraction form
    5,223.43/7,826.92 = 3,138.49/x
  3. Step 3: Cross multiply
    5,223.43x = 7,826.92 × 3,138.49
  4. Step 4: Simplify right side
    5,223.43x = 24,564,710.15
  5. Step 5: Solve for x
    x = 24,564,710.15/5,223.43
  6. Step 6: Final answer
    x = 4,702.79

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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.