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Finding the Fourth Proportional to 3,175.38, 4,381.01 and 2,057.17

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Solution

The fourth proportional to 3,175.38, 4,381.01 and 2,057.17 is: 2,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.38 : 4,381.01 = 2,057.17 : x
  2. Step 2: Convert to fraction form
    3,175.38/4,381.01 = 2,057.17/x
  3. Step 3: Cross multiply
    3,175.38x = 4,381.01 × 2,057.17
  4. Step 4: Simplify right side
    3,175.38x = 9,012,472.06
  5. Step 5: Solve for x
    x = 9,012,472.06/3,175.38
  6. Step 6: Final answer
    x = 2,838.24

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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.