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Finding the Fourth Proportional to 3,866, 5,335.17 and 2,097.68

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Solution

The fourth proportional to 3,866, 5,335.17 and 2,097.68 is: 2,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866 : 5,335.17 = 2,097.68 : x
  2. Step 2: Convert to fraction form
    3,866/5,335.17 = 2,097.68/x
  3. Step 3: Cross multiply
    3,866x = 5,335.17 × 2,097.68
  4. Step 4: Simplify right side
    3,866x = 11,191,479.41
  5. Step 5: Solve for x
    x = 11,191,479.41/3,866
  6. Step 6: Final answer
    x = 2,894.85

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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.