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Finding the Fourth Proportional to 3,451.52, 5,177.32 and 986.33

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Solution

The fourth proportional to 3,451.52, 5,177.32 and 986.33 is: 1,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.52 : 5,177.32 = 986.33 : x
  2. Step 2: Convert to fraction form
    3,451.52/5,177.32 = 986.33/x
  3. Step 3: Cross multiply
    3,451.52x = 5,177.32 × 986.33
  4. Step 4: Simplify right side
    3,451.52x = 5,106,517.68
  5. Step 5: Solve for x
    x = 5,106,517.68/3,451.52
  6. Step 6: Final answer
    x = 1,479.50

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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.