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Finding the Fourth Proportional to 5,339.85, 8,009.77 and 2,414.73

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Solution

The fourth proportional to 5,339.85, 8,009.77 and 2,414.73 is: 3,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.85 : 8,009.77 = 2,414.73 : x
  2. Step 2: Convert to fraction form
    5,339.85/8,009.77 = 2,414.73/x
  3. Step 3: Cross multiply
    5,339.85x = 8,009.77 × 2,414.73
  4. Step 4: Simplify right side
    5,339.85x = 19,341,431.91
  5. Step 5: Solve for x
    x = 19,341,431.91/5,339.85
  6. Step 6: Final answer
    x = 3,622.09

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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.