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Finding the Fourth Proportional to 4,311.47, 5,949.84 and 2,448.47

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Solution

The fourth proportional to 4,311.47, 5,949.84 and 2,448.47 is: 3,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.47 : 5,949.84 = 2,448.47 : x
  2. Step 2: Convert to fraction form
    4,311.47/5,949.84 = 2,448.47/x
  3. Step 3: Cross multiply
    4,311.47x = 5,949.84 × 2,448.47
  4. Step 4: Simplify right side
    4,311.47x = 14,568,004.74
  5. Step 5: Solve for x
    x = 14,568,004.74/4,311.47
  6. Step 6: Final answer
    x = 3,378.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.