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Finding the Fourth Proportional to 3,902.35, 5,853.07 and 980.43

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Solution

The fourth proportional to 3,902.35, 5,853.07 and 980.43 is: 1,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.35 : 5,853.07 = 980.43 : x
  2. Step 2: Convert to fraction form
    3,902.35/5,853.07 = 980.43/x
  3. Step 3: Cross multiply
    3,902.35x = 5,853.07 × 980.43
  4. Step 4: Simplify right side
    3,902.35x = 5,738,520.52
  5. Step 5: Solve for x
    x = 5,738,520.52/3,902.35
  6. Step 6: Final answer
    x = 1,470.53

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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.