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Finding the Fourth Proportional to 5,286.20, 7,929.30 and 4,422.20

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Solution

The fourth proportional to 5,286.20, 7,929.30 and 4,422.20 is: 6,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.20 : 7,929.30 = 4,422.20 : x
  2. Step 2: Convert to fraction form
    5,286.20/7,929.30 = 4,422.20/x
  3. Step 3: Cross multiply
    5,286.20x = 7,929.30 × 4,422.20
  4. Step 4: Simplify right side
    5,286.20x = 35,064,950.46
  5. Step 5: Solve for x
    x = 35,064,950.46/5,286.20
  6. Step 6: Final answer
    x = 6,633.30

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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.