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Finding the Fourth Proportional to 2,867.36, 3,957.12 and 2,167.52

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Solution

The fourth proportional to 2,867.36, 3,957.12 and 2,167.52 is: 2,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.36 : 3,957.12 = 2,167.52 : x
  2. Step 2: Convert to fraction form
    2,867.36/3,957.12 = 2,167.52/x
  3. Step 3: Cross multiply
    2,867.36x = 3,957.12 × 2,167.52
  4. Step 4: Simplify right side
    2,867.36x = 8,577,136.74
  5. Step 5: Solve for x
    x = 8,577,136.74/2,867.36
  6. Step 6: Final answer
    x = 2,991.30

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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.