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Finding the Fourth Proportional to 5,233.62, 7,853.13 and 3,479.85

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Solution

The fourth proportional to 5,233.62, 7,853.13 and 3,479.85 is: 5,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.62 : 7,853.13 = 3,479.85 : x
  2. Step 2: Convert to fraction form
    5,233.62/7,853.13 = 3,479.85/x
  3. Step 3: Cross multiply
    5,233.62x = 7,853.13 × 3,479.85
  4. Step 4: Simplify right side
    5,233.62x = 27,327,714.43
  5. Step 5: Solve for x
    x = 27,327,714.43/5,233.62
  6. Step 6: Final answer
    x = 5,221.57

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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.