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Finding the Fourth Proportional to 3,000.72, 4,141.80 and 2,705.44

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Solution

The fourth proportional to 3,000.72, 4,141.80 and 2,705.44 is: 3,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.72 : 4,141.80 = 2,705.44 : x
  2. Step 2: Convert to fraction form
    3,000.72/4,141.80 = 2,705.44/x
  3. Step 3: Cross multiply
    3,000.72x = 4,141.80 × 2,705.44
  4. Step 4: Simplify right side
    3,000.72x = 11,205,391.39
  5. Step 5: Solve for x
    x = 11,205,391.39/3,000.72
  6. Step 6: Final answer
    x = 3,734.23

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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.