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Finding the Fourth Proportional to 4,202.35, 5,799.35 and 2,313.97

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Solution

The fourth proportional to 4,202.35, 5,799.35 and 2,313.97 is: 3,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.35 : 5,799.35 = 2,313.97 : x
  2. Step 2: Convert to fraction form
    4,202.35/5,799.35 = 2,313.97/x
  3. Step 3: Cross multiply
    4,202.35x = 5,799.35 × 2,313.97
  4. Step 4: Simplify right side
    4,202.35x = 13,419,513.21
  5. Step 5: Solve for x
    x = 13,419,513.21/4,202.35
  6. Step 6: Final answer
    x = 3,193.34

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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.