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Finding the Fourth Proportional to 5,685.39, 7,845.72 and 3,167.49

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Solution

The fourth proportional to 5,685.39, 7,845.72 and 3,167.49 is: 4,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.39 : 7,845.72 = 3,167.49 : x
  2. Step 2: Convert to fraction form
    5,685.39/7,845.72 = 3,167.49/x
  3. Step 3: Cross multiply
    5,685.39x = 7,845.72 × 3,167.49
  4. Step 4: Simplify right side
    5,685.39x = 24,851,239.64
  5. Step 5: Solve for x
    x = 24,851,239.64/5,685.39
  6. Step 6: Final answer
    x = 4,371.07

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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.