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Finding the Fourth Proportional to 5,351.88, 8,022 and 4,306.92

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Solution

The fourth proportional to 5,351.88, 8,022 and 4,306.92 is: 6,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.88 : 8,022 = 4,306.92 : x
  2. Step 2: Convert to fraction form
    5,351.88/8,022 = 4,306.92/x
  3. Step 3: Cross multiply
    5,351.88x = 8,022 × 4,306.92
  4. Step 4: Simplify right side
    5,351.88x = 34,550,112.24
  5. Step 5: Solve for x
    x = 34,550,112.24/5,351.88
  6. Step 6: Final answer
    x = 6,455.70

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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.