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Finding the Fourth Proportional to 3,451.52, 5,176.70 and 985.78

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Solution

The fourth proportional to 3,451.52, 5,176.70 and 985.78 is: 1,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.52 : 5,176.70 = 985.78 : x
  2. Step 2: Convert to fraction form
    3,451.52/5,176.70 = 985.78/x
  3. Step 3: Cross multiply
    3,451.52x = 5,176.70 × 985.78
  4. Step 4: Simplify right side
    3,451.52x = 5,103,087.33
  5. Step 5: Solve for x
    x = 5,103,087.33/3,451.52
  6. Step 6: Final answer
    x = 1,478.50

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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.