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Finding the Fourth Proportional to 3,812.54, 5,261.06 and 2,133.66

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Solution

The fourth proportional to 3,812.54, 5,261.06 and 2,133.66 is: 2,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.54 : 5,261.06 = 2,133.66 : x
  2. Step 2: Convert to fraction form
    3,812.54/5,261.06 = 2,133.66/x
  3. Step 3: Cross multiply
    3,812.54x = 5,261.06 × 2,133.66
  4. Step 4: Simplify right side
    3,812.54x = 11,225,313.28
  5. Step 5: Solve for x
    x = 11,225,313.28/3,812.54
  6. Step 6: Final answer
    x = 2,944.31

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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.