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Finding the Fourth Proportional to 4,207, 5,805.84 and 2,344

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Solution

The fourth proportional to 4,207, 5,805.84 and 2,344 is: 3,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207 : 5,805.84 = 2,344 : x
  2. Step 2: Convert to fraction form
    4,207/5,805.84 = 2,344/x
  3. Step 3: Cross multiply
    4,207x = 5,805.84 × 2,344
  4. Step 4: Simplify right side
    4,207x = 13,608,888.96
  5. Step 5: Solve for x
    x = 13,608,888.96/4,207
  6. Step 6: Final answer
    x = 3,234.82

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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.