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Finding the Fourth Proportional to 4,234, 5,842.92 and 2,371.04

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Solution

The fourth proportional to 4,234, 5,842.92 and 2,371.04 is: 3,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234 : 5,842.92 = 2,371.04 : x
  2. Step 2: Convert to fraction form
    4,234/5,842.92 = 2,371.04/x
  3. Step 3: Cross multiply
    4,234x = 5,842.92 × 2,371.04
  4. Step 4: Simplify right side
    4,234x = 13,853,797.04
  5. Step 5: Solve for x
    x = 13,853,797.04/4,234
  6. Step 6: Final answer
    x = 3,272.04

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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.