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Finding the Fourth Proportional to 3,866.26, 5,335.44 and 2,097.88

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Solution

The fourth proportional to 3,866.26, 5,335.44 and 2,097.88 is: 2,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.26 : 5,335.44 = 2,097.88 : x
  2. Step 2: Convert to fraction form
    3,866.26/5,335.44 = 2,097.88/x
  3. Step 3: Cross multiply
    3,866.26x = 5,335.44 × 2,097.88
  4. Step 4: Simplify right side
    3,866.26x = 11,193,112.87
  5. Step 5: Solve for x
    x = 11,193,112.87/3,866.26
  6. Step 6: Final answer
    x = 2,895.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.