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Finding the Fourth Proportional to 3,881.28, 5,823 and 2,151.12

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Solution

The fourth proportional to 3,881.28, 5,823 and 2,151.12 is: 3,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.28 : 5,823 = 2,151.12 : x
  2. Step 2: Convert to fraction form
    3,881.28/5,823 = 2,151.12/x
  3. Step 3: Cross multiply
    3,881.28x = 5,823 × 2,151.12
  4. Step 4: Simplify right side
    3,881.28x = 12,525,971.76
  5. Step 5: Solve for x
    x = 12,525,971.76/3,881.28
  6. Step 6: Final answer
    x = 3,227.28

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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.