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Finding the Fourth Proportional to 4,202.34, 5,799.15 and 2,339.34

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Solution

The fourth proportional to 4,202.34, 5,799.15 and 2,339.34 is: 3,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.34 : 5,799.15 = 2,339.34 : x
  2. Step 2: Convert to fraction form
    4,202.34/5,799.15 = 2,339.34/x
  3. Step 3: Cross multiply
    4,202.34x = 5,799.15 × 2,339.34
  4. Step 4: Simplify right side
    4,202.34x = 13,566,183.56
  5. Step 5: Solve for x
    x = 13,566,183.56/4,202.34
  6. Step 6: Final answer
    x = 3,228.25

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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.