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Finding the Fourth Proportional to 3,729.84, 5,143.68 and 2,945.76

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Solution

The fourth proportional to 3,729.84, 5,143.68 and 2,945.76 is: 4,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,143.68 = 2,945.76 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,143.68 = 2,945.76/x
  3. Step 3: Cross multiply
    3,729.84x = 5,143.68 × 2,945.76
  4. Step 4: Simplify right side
    3,729.84x = 15,152,046.80
  5. Step 5: Solve for x
    x = 15,152,046.80/3,729.84
  6. Step 6: Final answer
    x = 4,062.39

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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.