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Finding the Fourth Proportional to 3,812.78, 5,261.54 and 2,134.20

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Solution

The fourth proportional to 3,812.78, 5,261.54 and 2,134.20 is: 2,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.78 : 5,261.54 = 2,134.20 : x
  2. Step 2: Convert to fraction form
    3,812.78/5,261.54 = 2,134.20/x
  3. Step 3: Cross multiply
    3,812.78x = 5,261.54 × 2,134.20
  4. Step 4: Simplify right side
    3,812.78x = 11,229,178.67
  5. Step 5: Solve for x
    x = 11,229,178.67/3,812.78
  6. Step 6: Final answer
    x = 2,945.14

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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.