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Finding the Fourth Proportional to 4,114.39, 5,677.83 and 2,251.39

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Solution

The fourth proportional to 4,114.39, 5,677.83 and 2,251.39 is: 3,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.39 : 5,677.83 = 2,251.39 : x
  2. Step 2: Convert to fraction form
    4,114.39/5,677.83 = 2,251.39/x
  3. Step 3: Cross multiply
    4,114.39x = 5,677.83 × 2,251.39
  4. Step 4: Simplify right side
    4,114.39x = 12,783,009.68
  5. Step 5: Solve for x
    x = 12,783,009.68/4,114.39
  6. Step 6: Final answer
    x = 3,106.90

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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.