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Finding the Fourth Proportional to 3,926.77, 5,419.25 and 2,248.70

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Solution

The fourth proportional to 3,926.77, 5,419.25 and 2,248.70 is: 3,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.77 : 5,419.25 = 2,248.70 : x
  2. Step 2: Convert to fraction form
    3,926.77/5,419.25 = 2,248.70/x
  3. Step 3: Cross multiply
    3,926.77x = 5,419.25 × 2,248.70
  4. Step 4: Simplify right side
    3,926.77x = 12,186,269.78
  5. Step 5: Solve for x
    x = 12,186,269.78/3,926.77
  6. Step 6: Final answer
    x = 3,103.38

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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.