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Finding the Fourth Proportional to 4,168.40, 5,752.32 and 2,400

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Solution

The fourth proportional to 4,168.40, 5,752.32 and 2,400 is: 3,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.40 : 5,752.32 = 2,400 : x
  2. Step 2: Convert to fraction form
    4,168.40/5,752.32 = 2,400/x
  3. Step 3: Cross multiply
    4,168.40x = 5,752.32 × 2,400
  4. Step 4: Simplify right side
    4,168.40x = 13,805,568
  5. Step 5: Solve for x
    x = 13,805,568/4,168.40
  6. Step 6: Final answer
    x = 3,311.96

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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.