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Finding the Fourth Proportional to 3,974.67, 5,479.38 and 3,132

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Solution

The fourth proportional to 3,974.67, 5,479.38 and 3,132 is: 4,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.67 : 5,479.38 = 3,132 : x
  2. Step 2: Convert to fraction form
    3,974.67/5,479.38 = 3,132/x
  3. Step 3: Cross multiply
    3,974.67x = 5,479.38 × 3,132
  4. Step 4: Simplify right side
    3,974.67x = 17,161,418.16
  5. Step 5: Solve for x
    x = 17,161,418.16/3,974.67
  6. Step 6: Final answer
    x = 4,317.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.