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Finding the Fourth Proportional to 4,167.51, 5,743.24 and 2,986.53

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Solution

The fourth proportional to 4,167.51, 5,743.24 and 2,986.53 is: 4,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.51 : 5,743.24 = 2,986.53 : x
  2. Step 2: Convert to fraction form
    4,167.51/5,743.24 = 2,986.53/x
  3. Step 3: Cross multiply
    4,167.51x = 5,743.24 × 2,986.53
  4. Step 4: Simplify right side
    4,167.51x = 17,152,358.56
  5. Step 5: Solve for x
    x = 17,152,358.56/4,167.51
  6. Step 6: Final answer
    x = 4,115.73

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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.