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Finding the Fourth Proportional to 3,758.62, 5,187.51 and 2,246.38

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Solution

The fourth proportional to 3,758.62, 5,187.51 and 2,246.38 is: 3,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.62 : 5,187.51 = 2,246.38 : x
  2. Step 2: Convert to fraction form
    3,758.62/5,187.51 = 2,246.38/x
  3. Step 3: Cross multiply
    3,758.62x = 5,187.51 × 2,246.38
  4. Step 4: Simplify right side
    3,758.62x = 11,653,118.71
  5. Step 5: Solve for x
    x = 11,653,118.71/3,758.62
  6. Step 6: Final answer
    x = 3,100.37

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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.