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Finding the Fourth Proportional to 3,866.45, 5,335.69 and 2,098.06

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Solution

The fourth proportional to 3,866.45, 5,335.69 and 2,098.06 is: 2,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.45 : 5,335.69 = 2,098.06 : x
  2. Step 2: Convert to fraction form
    3,866.45/5,335.69 = 2,098.06/x
  3. Step 3: Cross multiply
    3,866.45x = 5,335.69 × 2,098.06
  4. Step 4: Simplify right side
    3,866.45x = 11,194,565.84
  5. Step 5: Solve for x
    x = 11,194,565.84/3,866.45
  6. Step 6: Final answer
    x = 2,895.31

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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.