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Finding the Fourth Proportional to 3,660.51, 5,491.37 and 1,468.04

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Solution

The fourth proportional to 3,660.51, 5,491.37 and 1,468.04 is: 2,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.51 : 5,491.37 = 1,468.04 : x
  2. Step 2: Convert to fraction form
    3,660.51/5,491.37 = 1,468.04/x
  3. Step 3: Cross multiply
    3,660.51x = 5,491.37 × 1,468.04
  4. Step 4: Simplify right side
    3,660.51x = 8,061,529.75
  5. Step 5: Solve for x
    x = 8,061,529.75/3,660.51
  6. Step 6: Final answer
    x = 2,202.30

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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.