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Finding the Fourth Proportional to 4,168.43, 5,752.46 and 2,279.99

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Solution

The fourth proportional to 4,168.43, 5,752.46 and 2,279.99 is: 3,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.43 : 5,752.46 = 2,279.99 : x
  2. Step 2: Convert to fraction form
    4,168.43/5,752.46 = 2,279.99/x
  3. Step 3: Cross multiply
    4,168.43x = 5,752.46 × 2,279.99
  4. Step 4: Simplify right side
    4,168.43x = 13,115,551.28
  5. Step 5: Solve for x
    x = 13,115,551.28/4,168.43
  6. Step 6: Final answer
    x = 3,146.40

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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.