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Finding the Fourth Proportional to 3,454.85, 4,767.78 and 2,129.42

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Solution

The fourth proportional to 3,454.85, 4,767.78 and 2,129.42 is: 2,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.85 : 4,767.78 = 2,129.42 : x
  2. Step 2: Convert to fraction form
    3,454.85/4,767.78 = 2,129.42/x
  3. Step 3: Cross multiply
    3,454.85x = 4,767.78 × 2,129.42
  4. Step 4: Simplify right side
    3,454.85x = 10,152,582.25
  5. Step 5: Solve for x
    x = 10,152,582.25/3,454.85
  6. Step 6: Final answer
    x = 2,938.65

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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.