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Finding the Fourth Proportional to 3,780.95, 5,217.90 and 2,102.39

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Solution

The fourth proportional to 3,780.95, 5,217.90 and 2,102.39 is: 2,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.95 : 5,217.90 = 2,102.39 : x
  2. Step 2: Convert to fraction form
    3,780.95/5,217.90 = 2,102.39/x
  3. Step 3: Cross multiply
    3,780.95x = 5,217.90 × 2,102.39
  4. Step 4: Simplify right side
    3,780.95x = 10,970,034.69
  5. Step 5: Solve for x
    x = 10,970,034.69/3,780.95
  6. Step 6: Final answer
    x = 2,901.40

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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.