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Finding the Fourth Proportional to 3,445.75, 5,168.49 and 980.47

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Solution

The fourth proportional to 3,445.75, 5,168.49 and 980.47 is: 1,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.75 : 5,168.49 = 980.47 : x
  2. Step 2: Convert to fraction form
    3,445.75/5,168.49 = 980.47/x
  3. Step 3: Cross multiply
    3,445.75x = 5,168.49 × 980.47
  4. Step 4: Simplify right side
    3,445.75x = 5,067,549.39
  5. Step 5: Solve for x
    x = 5,067,549.39/3,445.75
  6. Step 6: Final answer
    x = 1,470.67

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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.