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Finding the Fourth Proportional to 4,238.66, 5,849.85 and 2,375.30

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Solution

The fourth proportional to 4,238.66, 5,849.85 and 2,375.30 is: 3,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.66 : 5,849.85 = 2,375.30 : x
  2. Step 2: Convert to fraction form
    4,238.66/5,849.85 = 2,375.30/x
  3. Step 3: Cross multiply
    4,238.66x = 5,849.85 × 2,375.30
  4. Step 4: Simplify right side
    4,238.66x = 13,895,148.71
  5. Step 5: Solve for x
    x = 13,895,148.71/4,238.66
  6. Step 6: Final answer
    x = 3,278.19

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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.