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Finding the Fourth Proportional to 3,703.80, 5,111.82 and 2,211.48

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Solution

The fourth proportional to 3,703.80, 5,111.82 and 2,211.48 is: 3,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.80 : 5,111.82 = 2,211.48 : x
  2. Step 2: Convert to fraction form
    3,703.80/5,111.82 = 2,211.48/x
  3. Step 3: Cross multiply
    3,703.80x = 5,111.82 × 2,211.48
  4. Step 4: Simplify right side
    3,703.80x = 11,304,687.69
  5. Step 5: Solve for x
    x = 11,304,687.69/3,703.80
  6. Step 6: Final answer
    x = 3,052.19

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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.