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Finding the Fourth Proportional to 4,189.64, 5,781.71 and 2,301.22

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Solution

The fourth proportional to 4,189.64, 5,781.71 and 2,301.22 is: 3,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.64 : 5,781.71 = 2,301.22 : x
  2. Step 2: Convert to fraction form
    4,189.64/5,781.71 = 2,301.22/x
  3. Step 3: Cross multiply
    4,189.64x = 5,781.71 × 2,301.22
  4. Step 4: Simplify right side
    4,189.64x = 13,304,984.65
  5. Step 5: Solve for x
    x = 13,304,984.65/4,189.64
  6. Step 6: Final answer
    x = 3,175.68

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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.