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Finding the Fourth Proportional to 5,859.44, 8,083.30 and 3,374

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Solution

The fourth proportional to 5,859.44, 8,083.30 and 3,374 is: 4,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.44 : 8,083.30 = 3,374 : x
  2. Step 2: Convert to fraction form
    5,859.44/8,083.30 = 3,374/x
  3. Step 3: Cross multiply
    5,859.44x = 8,083.30 × 3,374
  4. Step 4: Simplify right side
    5,859.44x = 27,273,054.20
  5. Step 5: Solve for x
    x = 27,273,054.20/5,859.44
  6. Step 6: Final answer
    x = 4,654.55

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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.