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Finding the Fourth Proportional to 3,908.44, 5,862.66 and 1,172.44

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Solution

The fourth proportional to 3,908.44, 5,862.66 and 1,172.44 is: 1,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.44 : 5,862.66 = 1,172.44 : x
  2. Step 2: Convert to fraction form
    3,908.44/5,862.66 = 1,172.44/x
  3. Step 3: Cross multiply
    3,908.44x = 5,862.66 × 1,172.44
  4. Step 4: Simplify right side
    3,908.44x = 6,873,599.50
  5. Step 5: Solve for x
    x = 6,873,599.50/3,908.44
  6. Step 6: Final answer
    x = 1,758.66

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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.