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Finding the Fourth Proportional to 3,876.54, 5,340.12 and 2,811.17

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Solution

The fourth proportional to 3,876.54, 5,340.12 and 2,811.17 is: 3,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.54 : 5,340.12 = 2,811.17 : x
  2. Step 2: Convert to fraction form
    3,876.54/5,340.12 = 2,811.17/x
  3. Step 3: Cross multiply
    3,876.54x = 5,340.12 × 2,811.17
  4. Step 4: Simplify right side
    3,876.54x = 15,011,985.14
  5. Step 5: Solve for x
    x = 15,011,985.14/3,876.54
  6. Step 6: Final answer
    x = 3,872.52

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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.