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Finding the Fourth Proportional to 3,812.81, 5,261.76 and 2,134.17

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Solution

The fourth proportional to 3,812.81, 5,261.76 and 2,134.17 is: 2,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.81 : 5,261.76 = 2,134.17 : x
  2. Step 2: Convert to fraction form
    3,812.81/5,261.76 = 2,134.17/x
  3. Step 3: Cross multiply
    3,812.81x = 5,261.76 × 2,134.17
  4. Step 4: Simplify right side
    3,812.81x = 11,229,490.34
  5. Step 5: Solve for x
    x = 11,229,490.34/3,812.81
  6. Step 6: Final answer
    x = 2,945.20

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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.