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Finding the Fourth Proportional to 3,770.65, 5,643.82 and 2,013.15

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Solution

The fourth proportional to 3,770.65, 5,643.82 and 2,013.15 is: 3,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.65 : 5,643.82 = 2,013.15 : x
  2. Step 2: Convert to fraction form
    3,770.65/5,643.82 = 2,013.15/x
  3. Step 3: Cross multiply
    3,770.65x = 5,643.82 × 2,013.15
  4. Step 4: Simplify right side
    3,770.65x = 11,361,846.17
  5. Step 5: Solve for x
    x = 11,361,846.17/3,770.65
  6. Step 6: Final answer
    x = 3,013.24

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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.