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Finding the Fourth Proportional to 3,681.56, 5,081.25 and 2,109.65

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Solution

The fourth proportional to 3,681.56, 5,081.25 and 2,109.65 is: 2,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.56 : 5,081.25 = 2,109.65 : x
  2. Step 2: Convert to fraction form
    3,681.56/5,081.25 = 2,109.65/x
  3. Step 3: Cross multiply
    3,681.56x = 5,081.25 × 2,109.65
  4. Step 4: Simplify right side
    3,681.56x = 10,719,648.51
  5. Step 5: Solve for x
    x = 10,719,648.51/3,681.56
  6. Step 6: Final answer
    x = 2,911.71

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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.