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Finding the Fourth Proportional to 3,968.84, 5,471.33 and 2,849.42

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Solution

The fourth proportional to 3,968.84, 5,471.33 and 2,849.42 is: 3,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.84 : 5,471.33 = 2,849.42 : x
  2. Step 2: Convert to fraction form
    3,968.84/5,471.33 = 2,849.42/x
  3. Step 3: Cross multiply
    3,968.84x = 5,471.33 × 2,849.42
  4. Step 4: Simplify right side
    3,968.84x = 15,590,075.52
  5. Step 5: Solve for x
    x = 15,590,075.52/3,968.84
  6. Step 6: Final answer
    x = 3,928.12

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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.