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Finding the Fourth Proportional to 3,123.52, 4,309.41 and 2,005.06

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Solution

The fourth proportional to 3,123.52, 4,309.41 and 2,005.06 is: 2,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.52 : 4,309.41 = 2,005.06 : x
  2. Step 2: Convert to fraction form
    3,123.52/4,309.41 = 2,005.06/x
  3. Step 3: Cross multiply
    3,123.52x = 4,309.41 × 2,005.06
  4. Step 4: Simplify right side
    3,123.52x = 8,640,625.61
  5. Step 5: Solve for x
    x = 8,640,625.61/3,123.52
  6. Step 6: Final answer
    x = 2,766.31

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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.