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Finding the Fourth Proportional to 3,830.67, 5,287.05 and 2,339.91

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Solution

The fourth proportional to 3,830.67, 5,287.05 and 2,339.91 is: 3,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.67 : 5,287.05 = 2,339.91 : x
  2. Step 2: Convert to fraction form
    3,830.67/5,287.05 = 2,339.91/x
  3. Step 3: Cross multiply
    3,830.67x = 5,287.05 × 2,339.91
  4. Step 4: Simplify right side
    3,830.67x = 12,371,221.17
  5. Step 5: Solve for x
    x = 12,371,221.17/3,830.67
  6. Step 6: Final answer
    x = 3,229.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.