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Finding the Fourth Proportional to 3,544.46, 5,314.91 and 2,064.17

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Solution

The fourth proportional to 3,544.46, 5,314.91 and 2,064.17 is: 3,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.46 : 5,314.91 = 2,064.17 : x
  2. Step 2: Convert to fraction form
    3,544.46/5,314.91 = 2,064.17/x
  3. Step 3: Cross multiply
    3,544.46x = 5,314.91 × 2,064.17
  4. Step 4: Simplify right side
    3,544.46x = 10,970,896.22
  5. Step 5: Solve for x
    x = 10,970,896.22/3,544.46
  6. Step 6: Final answer
    x = 3,095.22

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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.