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Finding the Fourth Proportional to 3,816.59, 5,724.90 and 1,508.09

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Solution

The fourth proportional to 3,816.59, 5,724.90 and 1,508.09 is: 2,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.59 : 5,724.90 = 1,508.09 : x
  2. Step 2: Convert to fraction form
    3,816.59/5,724.90 = 1,508.09/x
  3. Step 3: Cross multiply
    3,816.59x = 5,724.90 × 1,508.09
  4. Step 4: Simplify right side
    3,816.59x = 8,633,635.82
  5. Step 5: Solve for x
    x = 8,633,635.82/3,816.59
  6. Step 6: Final answer
    x = 2,262.14

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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.