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Finding the Fourth Proportional to 3,252.25, 4,872.86 and 2,323.08

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Solution

The fourth proportional to 3,252.25, 4,872.86 and 2,323.08 is: 3,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.25 : 4,872.86 = 2,323.08 : x
  2. Step 2: Convert to fraction form
    3,252.25/4,872.86 = 2,323.08/x
  3. Step 3: Cross multiply
    3,252.25x = 4,872.86 × 2,323.08
  4. Step 4: Simplify right side
    3,252.25x = 11,320,040.70
  5. Step 5: Solve for x
    x = 11,320,040.70/3,252.25
  6. Step 6: Final answer
    x = 3,480.68

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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.