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Finding the Fourth Proportional to 3,239.68, 4,852.48 and 2,372

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Solution

The fourth proportional to 3,239.68, 4,852.48 and 2,372 is: 3,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.68 : 4,852.48 = 2,372 : x
  2. Step 2: Convert to fraction form
    3,239.68/4,852.48 = 2,372/x
  3. Step 3: Cross multiply
    3,239.68x = 4,852.48 × 2,372
  4. Step 4: Simplify right side
    3,239.68x = 11,510,082.56
  5. Step 5: Solve for x
    x = 11,510,082.56/3,239.68
  6. Step 6: Final answer
    x = 3,552.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.