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Finding the Fourth Proportional to 3,757.65, 5,186.00 and 2,185.74

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Solution

The fourth proportional to 3,757.65, 5,186.00 and 2,185.74 is: 3,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.65 : 5,186.00 = 2,185.74 : x
  2. Step 2: Convert to fraction form
    3,757.65/5,186.00 = 2,185.74/x
  3. Step 3: Cross multiply
    3,757.65x = 5,186.00 × 2,185.74
  4. Step 4: Simplify right side
    3,757.65x = 11,335,253.10
  5. Step 5: Solve for x
    x = 11,335,253.10/3,757.65
  6. Step 6: Final answer
    x = 3,016.58

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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.