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Finding the Fourth Proportional to 3,451.50, 5,177.12 and 986.22

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Solution

The fourth proportional to 3,451.50, 5,177.12 and 986.22 is: 1,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.50 : 5,177.12 = 986.22 : x
  2. Step 2: Convert to fraction form
    3,451.50/5,177.12 = 986.22/x
  3. Step 3: Cross multiply
    3,451.50x = 5,177.12 × 986.22
  4. Step 4: Simplify right side
    3,451.50x = 5,105,774.36
  5. Step 5: Solve for x
    x = 5,105,774.36/3,451.50
  6. Step 6: Final answer
    x = 1,479.29

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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.