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Finding the Fourth Proportional to 3,845.61, 5,759.17 and 2,197.17

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Solution

The fourth proportional to 3,845.61, 5,759.17 and 2,197.17 is: 3,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.61 : 5,759.17 = 2,197.17 : x
  2. Step 2: Convert to fraction form
    3,845.61/5,759.17 = 2,197.17/x
  3. Step 3: Cross multiply
    3,845.61x = 5,759.17 × 2,197.17
  4. Step 4: Simplify right side
    3,845.61x = 12,653,870.06
  5. Step 5: Solve for x
    x = 12,653,870.06/3,845.61
  6. Step 6: Final answer
    x = 3,290.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.