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Finding the Fourth Proportional to 3,780.76, 5,218.48 and 2,454.39

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Solution

The fourth proportional to 3,780.76, 5,218.48 and 2,454.39 is: 3,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.76 : 5,218.48 = 2,454.39 : x
  2. Step 2: Convert to fraction form
    3,780.76/5,218.48 = 2,454.39/x
  3. Step 3: Cross multiply
    3,780.76x = 5,218.48 × 2,454.39
  4. Step 4: Simplify right side
    3,780.76x = 12,808,185.13
  5. Step 5: Solve for x
    x = 12,808,185.13/3,780.76
  6. Step 6: Final answer
    x = 3,387.73

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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.