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Finding the Fourth Proportional to 4,203.38, 5,799.24 and 2,434.34

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Solution

The fourth proportional to 4,203.38, 5,799.24 and 2,434.34 is: 3,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.38 : 5,799.24 = 2,434.34 : x
  2. Step 2: Convert to fraction form
    4,203.38/5,799.24 = 2,434.34/x
  3. Step 3: Cross multiply
    4,203.38x = 5,799.24 × 2,434.34
  4. Step 4: Simplify right side
    4,203.38x = 14,117,292.91
  5. Step 5: Solve for x
    x = 14,117,292.91/4,203.38
  6. Step 6: Final answer
    x = 3,358.56

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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.