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Finding the Fourth Proportional to 4,202.78, 5,799.78 and 2,339.78

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Solution

The fourth proportional to 4,202.78, 5,799.78 and 2,339.78 is: 3,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.78 : 5,799.78 = 2,339.78 : x
  2. Step 2: Convert to fraction form
    4,202.78/5,799.78 = 2,339.78/x
  3. Step 3: Cross multiply
    4,202.78x = 5,799.78 × 2,339.78
  4. Step 4: Simplify right side
    4,202.78x = 13,570,209.25
  5. Step 5: Solve for x
    x = 13,570,209.25/4,202.78
  6. Step 6: Final answer
    x = 3,228.87

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1.5x scale

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.