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Finding the Fourth Proportional to 3,191.28, 4,406.10 and 2,854.12

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Solution

The fourth proportional to 3,191.28, 4,406.10 and 2,854.12 is: 3,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.28 : 4,406.10 = 2,854.12 : x
  2. Step 2: Convert to fraction form
    3,191.28/4,406.10 = 2,854.12/x
  3. Step 3: Cross multiply
    3,191.28x = 4,406.10 × 2,854.12
  4. Step 4: Simplify right side
    3,191.28x = 12,575,538.13
  5. Step 5: Solve for x
    x = 12,575,538.13/3,191.28
  6. Step 6: Final answer
    x = 3,940.59

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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.