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Finding the Fourth Proportional to 3,812.54, 5,261.11 and 2,133.95

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Solution

The fourth proportional to 3,812.54, 5,261.11 and 2,133.95 is: 2,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.54 : 5,261.11 = 2,133.95 : x
  2. Step 2: Convert to fraction form
    3,812.54/5,261.11 = 2,133.95/x
  3. Step 3: Cross multiply
    3,812.54x = 5,261.11 × 2,133.95
  4. Step 4: Simplify right side
    3,812.54x = 11,226,919.38
  5. Step 5: Solve for x
    x = 11,226,919.38/3,812.54
  6. Step 6: Final answer
    x = 2,944.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.