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Finding the Fourth Proportional to 3,881.17, 5,821.70 and 959.48

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Solution

The fourth proportional to 3,881.17, 5,821.70 and 959.48 is: 1,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.17 : 5,821.70 = 959.48 : x
  2. Step 2: Convert to fraction form
    3,881.17/5,821.70 = 959.48/x
  3. Step 3: Cross multiply
    3,881.17x = 5,821.70 × 959.48
  4. Step 4: Simplify right side
    3,881.17x = 5,585,784.08
  5. Step 5: Solve for x
    x = 5,585,784.08/3,881.17
  6. Step 6: Final answer
    x = 1,439.20

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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.