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Finding the Fourth Proportional to 4,254.80, 6,378.42 and 1,479.20

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Solution

The fourth proportional to 4,254.80, 6,378.42 and 1,479.20 is: 2,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.80 : 6,378.42 = 1,479.20 : x
  2. Step 2: Convert to fraction form
    4,254.80/6,378.42 = 1,479.20/x
  3. Step 3: Cross multiply
    4,254.80x = 6,378.42 × 1,479.20
  4. Step 4: Simplify right side
    4,254.80x = 9,434,958.86
  5. Step 5: Solve for x
    x = 9,434,958.86/4,254.80
  6. Step 6: Final answer
    x = 2,217.49

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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.