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Finding the Fourth Proportional to 3,866.49, 5,335.77 and 2,098.11

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Solution

The fourth proportional to 3,866.49, 5,335.77 and 2,098.11 is: 2,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.49 : 5,335.77 = 2,098.11 : x
  2. Step 2: Convert to fraction form
    3,866.49/5,335.77 = 2,098.11/x
  3. Step 3: Cross multiply
    3,866.49x = 5,335.77 × 2,098.11
  4. Step 4: Simplify right side
    3,866.49x = 11,195,032.39
  5. Step 5: Solve for x
    x = 11,195,032.39/3,866.49
  6. Step 6: Final answer
    x = 2,895.40

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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.