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Finding the Fourth Proportional to 3,881.35, 5,821.98 and 959.68

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Solution

The fourth proportional to 3,881.35, 5,821.98 and 959.68 is: 1,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.35 : 5,821.98 = 959.68 : x
  2. Step 2: Convert to fraction form
    3,881.35/5,821.98 = 959.68/x
  3. Step 3: Cross multiply
    3,881.35x = 5,821.98 × 959.68
  4. Step 4: Simplify right side
    3,881.35x = 5,587,237.77
  5. Step 5: Solve for x
    x = 5,587,237.77/3,881.35
  6. Step 6: Final answer
    x = 1,439.51

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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.