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Finding the Fourth Proportional to 3,959.50, 5,463.80 and 2,191.12

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Solution

The fourth proportional to 3,959.50, 5,463.80 and 2,191.12 is: 3,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.50 : 5,463.80 = 2,191.12 : x
  2. Step 2: Convert to fraction form
    3,959.50/5,463.80 = 2,191.12/x
  3. Step 3: Cross multiply
    3,959.50x = 5,463.80 × 2,191.12
  4. Step 4: Simplify right side
    3,959.50x = 11,971,841.46
  5. Step 5: Solve for x
    x = 11,971,841.46/3,959.50
  6. Step 6: Final answer
    x = 3,023.57

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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.