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Finding the Fourth Proportional to 3,866.64, 5,335.94 and 2,098.21

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Solution

The fourth proportional to 3,866.64, 5,335.94 and 2,098.21 is: 2,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.64 : 5,335.94 = 2,098.21 : x
  2. Step 2: Convert to fraction form
    3,866.64/5,335.94 = 2,098.21/x
  3. Step 3: Cross multiply
    3,866.64x = 5,335.94 × 2,098.21
  4. Step 4: Simplify right side
    3,866.64x = 11,195,922.67
  5. Step 5: Solve for x
    x = 11,195,922.67/3,866.64
  6. Step 6: Final answer
    x = 2,895.52

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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.