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Finding the Fourth Proportional to 3,881.01, 5,821.74 and 959.34

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Solution

The fourth proportional to 3,881.01, 5,821.74 and 959.34 is: 1,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.01 : 5,821.74 = 959.34 : x
  2. Step 2: Convert to fraction form
    3,881.01/5,821.74 = 959.34/x
  3. Step 3: Cross multiply
    3,881.01x = 5,821.74 × 959.34
  4. Step 4: Simplify right side
    3,881.01x = 5,585,028.05
  5. Step 5: Solve for x
    x = 5,585,028.05/3,881.01
  6. Step 6: Final answer
    x = 1,439.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.