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Finding the Fourth Proportional to 3,823.68, 5,277.12 and 2,167.68

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Solution

The fourth proportional to 3,823.68, 5,277.12 and 2,167.68 is: 2,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.68 : 5,277.12 = 2,167.68 : x
  2. Step 2: Convert to fraction form
    3,823.68/5,277.12 = 2,167.68/x
  3. Step 3: Cross multiply
    3,823.68x = 5,277.12 × 2,167.68
  4. Step 4: Simplify right side
    3,823.68x = 11,439,107.48
  5. Step 5: Solve for x
    x = 11,439,107.48/3,823.68
  6. Step 6: Final answer
    x = 2,991.65

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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.