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Finding the Fourth Proportional to 3,816.32, 5,724.41 and 1,507.82

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Solution

The fourth proportional to 3,816.32, 5,724.41 and 1,507.82 is: 2,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.32 : 5,724.41 = 1,507.82 : x
  2. Step 2: Convert to fraction form
    3,816.32/5,724.41 = 1,507.82/x
  3. Step 3: Cross multiply
    3,816.32x = 5,724.41 × 1,507.82
  4. Step 4: Simplify right side
    3,816.32x = 8,631,343.73
  5. Step 5: Solve for x
    x = 8,631,343.73/3,816.32
  6. Step 6: Final answer
    x = 2,261.70

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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.