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Finding the Fourth Proportional to 5,874.31, 8,809.69 and 3,099.46

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Solution

The fourth proportional to 5,874.31, 8,809.69 and 3,099.46 is: 4,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.31 : 8,809.69 = 3,099.46 : x
  2. Step 2: Convert to fraction form
    5,874.31/8,809.69 = 3,099.46/x
  3. Step 3: Cross multiply
    5,874.31x = 8,809.69 × 3,099.46
  4. Step 4: Simplify right side
    5,874.31x = 27,305,281.77
  5. Step 5: Solve for x
    x = 27,305,281.77/5,874.31
  6. Step 6: Final answer
    x = 4,648.25

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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.