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Finding the Fourth Proportional to 3,806.48, 5,252.56 and 2,127.84

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Solution

The fourth proportional to 3,806.48, 5,252.56 and 2,127.84 is: 2,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.48 : 5,252.56 = 2,127.84 : x
  2. Step 2: Convert to fraction form
    3,806.48/5,252.56 = 2,127.84/x
  3. Step 3: Cross multiply
    3,806.48x = 5,252.56 × 2,127.84
  4. Step 4: Simplify right side
    3,806.48x = 11,176,607.27
  5. Step 5: Solve for x
    x = 11,176,607.27/3,806.48
  6. Step 6: Final answer
    x = 2,936.21

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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.