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Finding the Fourth Proportional to 3,827.46, 5,744.79 and 1,881.06

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Solution

The fourth proportional to 3,827.46, 5,744.79 and 1,881.06 is: 2,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.46 : 5,744.79 = 1,881.06 : x
  2. Step 2: Convert to fraction form
    3,827.46/5,744.79 = 1,881.06/x
  3. Step 3: Cross multiply
    3,827.46x = 5,744.79 × 1,881.06
  4. Step 4: Simplify right side
    3,827.46x = 10,806,294.68
  5. Step 5: Solve for x
    x = 10,806,294.68/3,827.46
  6. Step 6: Final answer
    x = 2,823.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.