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Finding the Fourth Proportional to 3,165.38, 4,364.13 and 2,168.88

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Solution

The fourth proportional to 3,165.38, 4,364.13 and 2,168.88 is: 2,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.38 : 4,364.13 = 2,168.88 : x
  2. Step 2: Convert to fraction form
    3,165.38/4,364.13 = 2,168.88/x
  3. Step 3: Cross multiply
    3,165.38x = 4,364.13 × 2,168.88
  4. Step 4: Simplify right side
    3,165.38x = 9,465,253.84
  5. Step 5: Solve for x
    x = 9,465,253.84/3,165.38
  6. Step 6: Final answer
    x = 2,990.24

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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.