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Finding the Fourth Proportional to 3,382, 5,073.86 and 2,396.76

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Solution

The fourth proportional to 3,382, 5,073.86 and 2,396.76 is: 3,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382 : 5,073.86 = 2,396.76 : x
  2. Step 2: Convert to fraction form
    3,382/5,073.86 = 2,396.76/x
  3. Step 3: Cross multiply
    3,382x = 5,073.86 × 2,396.76
  4. Step 4: Simplify right side
    3,382x = 12,160,824.69
  5. Step 5: Solve for x
    x = 12,160,824.69/3,382
  6. Step 6: Final answer
    x = 3,595.75

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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.