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Finding the Fourth Proportional to 3,677.38, 5,069.81 and 2,496.40

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Solution

The fourth proportional to 3,677.38, 5,069.81 and 2,496.40 is: 3,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.38 : 5,069.81 = 2,496.40 : x
  2. Step 2: Convert to fraction form
    3,677.38/5,069.81 = 2,496.40/x
  3. Step 3: Cross multiply
    3,677.38x = 5,069.81 × 2,496.40
  4. Step 4: Simplify right side
    3,677.38x = 12,656,267.25
  5. Step 5: Solve for x
    x = 12,656,267.25/3,677.38
  6. Step 6: Final answer
    x = 3,441.66

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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.