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Finding the Fourth Proportional to 4,238.76, 5,849.48 and 2,375.76

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Solution

The fourth proportional to 4,238.76, 5,849.48 and 2,375.76 is: 3,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.76 : 5,849.48 = 2,375.76 : x
  2. Step 2: Convert to fraction form
    4,238.76/5,849.48 = 2,375.76/x
  3. Step 3: Cross multiply
    4,238.76x = 5,849.48 × 2,375.76
  4. Step 4: Simplify right side
    4,238.76x = 13,896,960.60
  5. Step 5: Solve for x
    x = 13,896,960.60/4,238.76
  6. Step 6: Final answer
    x = 3,278.54

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1.5x scale

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.