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Finding the Fourth Proportional to 3,881.69, 5,822.55 and 959.99

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Solution

The fourth proportional to 3,881.69, 5,822.55 and 959.99 is: 1,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.69 : 5,822.55 = 959.99 : x
  2. Step 2: Convert to fraction form
    3,881.69/5,822.55 = 959.99/x
  3. Step 3: Cross multiply
    3,881.69x = 5,822.55 × 959.99
  4. Step 4: Simplify right side
    3,881.69x = 5,589,560.66
  5. Step 5: Solve for x
    x = 5,589,560.66/3,881.69
  6. Step 6: Final answer
    x = 1,439.98

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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.