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Finding the Fourth Proportional to 3,816.87, 5,724.38 and 1,043.56

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Solution

The fourth proportional to 3,816.87, 5,724.38 and 1,043.56 is: 1,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.87 : 5,724.38 = 1,043.56 : x
  2. Step 2: Convert to fraction form
    3,816.87/5,724.38 = 1,043.56/x
  3. Step 3: Cross multiply
    3,816.87x = 5,724.38 × 1,043.56
  4. Step 4: Simplify right side
    3,816.87x = 5,973,733.99
  5. Step 5: Solve for x
    x = 5,973,733.99/3,816.87
  6. Step 6: Final answer
    x = 1,565.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.