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Finding the Fourth Proportional to 3,832.84, 5,721.28 and 3,288.52

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Solution

The fourth proportional to 3,832.84, 5,721.28 and 3,288.52 is: 4,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.84 : 5,721.28 = 3,288.52 : x
  2. Step 2: Convert to fraction form
    3,832.84/5,721.28 = 3,288.52/x
  3. Step 3: Cross multiply
    3,832.84x = 5,721.28 × 3,288.52
  4. Step 4: Simplify right side
    3,832.84x = 18,814,529.40
  5. Step 5: Solve for x
    x = 18,814,529.40/3,832.84
  6. Step 6: Final answer
    x = 4,908.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.