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Finding the Fourth Proportional to 4,223.82, 6,337.17 and 1,885.47

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Solution

The fourth proportional to 4,223.82, 6,337.17 and 1,885.47 is: 2,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.82 : 6,337.17 = 1,885.47 : x
  2. Step 2: Convert to fraction form
    4,223.82/6,337.17 = 1,885.47/x
  3. Step 3: Cross multiply
    4,223.82x = 6,337.17 × 1,885.47
  4. Step 4: Simplify right side
    4,223.82x = 11,948,543.92
  5. Step 5: Solve for x
    x = 11,948,543.92/4,223.82
  6. Step 6: Final answer
    x = 2,828.85

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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.