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Finding the Fourth Proportional to 3,723.84, 5,138.84 and 2,045.36

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Solution

The fourth proportional to 3,723.84, 5,138.84 and 2,045.36 is: 2,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,138.84 = 2,045.36 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,138.84 = 2,045.36/x
  3. Step 3: Cross multiply
    3,723.84x = 5,138.84 × 2,045.36
  4. Step 4: Simplify right side
    3,723.84x = 10,510,777.78
  5. Step 5: Solve for x
    x = 10,510,777.78/3,723.84
  6. Step 6: Final answer
    x = 2,822.56

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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.