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Finding the Fourth Proportional to 3,444, 4,750.92 and 2,182.92

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Solution

The fourth proportional to 3,444, 4,750.92 and 2,182.92 is: 3,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 4,750.92 = 2,182.92 : x
  2. Step 2: Convert to fraction form
    3,444/4,750.92 = 2,182.92/x
  3. Step 3: Cross multiply
    3,444x = 4,750.92 × 2,182.92
  4. Step 4: Simplify right side
    3,444x = 10,370,878.29
  5. Step 5: Solve for x
    x = 10,370,878.29/3,444
  6. Step 6: Final answer
    x = 3,011.29

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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.