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Finding the Fourth Proportional to 4,155.84, 5,728.32 and 3,922.56

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Solution

The fourth proportional to 4,155.84, 5,728.32 and 3,922.56 is: 5,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.84 : 5,728.32 = 3,922.56 : x
  2. Step 2: Convert to fraction form
    4,155.84/5,728.32 = 3,922.56/x
  3. Step 3: Cross multiply
    4,155.84x = 5,728.32 × 3,922.56
  4. Step 4: Simplify right side
    4,155.84x = 22,469,678.90
  5. Step 5: Solve for x
    x = 22,469,678.90/4,155.84
  6. Step 6: Final answer
    x = 5,406.77

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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.