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Finding the Fourth Proportional to 3,810.96, 5,259.42 and 2,132.49

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Solution

The fourth proportional to 3,810.96, 5,259.42 and 2,132.49 is: 2,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.96 : 5,259.42 = 2,132.49 : x
  2. Step 2: Convert to fraction form
    3,810.96/5,259.42 = 2,132.49/x
  3. Step 3: Cross multiply
    3,810.96x = 5,259.42 × 2,132.49
  4. Step 4: Simplify right side
    3,810.96x = 11,215,660.56
  5. Step 5: Solve for x
    x = 11,215,660.56/3,810.96
  6. Step 6: Final answer
    x = 2,943.00

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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.