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Finding the Fourth Proportional to 3,727.58, 5,589.20 and 1,533.84

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Solution

The fourth proportional to 3,727.58, 5,589.20 and 1,533.84 is: 2,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.58 : 5,589.20 = 1,533.84 : x
  2. Step 2: Convert to fraction form
    3,727.58/5,589.20 = 1,533.84/x
  3. Step 3: Cross multiply
    3,727.58x = 5,589.20 × 1,533.84
  4. Step 4: Simplify right side
    3,727.58x = 8,572,938.53
  5. Step 5: Solve for x
    x = 8,572,938.53/3,727.58
  6. Step 6: Final answer
    x = 2,299.87

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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.