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Finding the Fourth Proportional to 3,544.90, 5,315.57 and 2,064.61

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Solution

The fourth proportional to 3,544.90, 5,315.57 and 2,064.61 is: 3,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.90 : 5,315.57 = 2,064.61 : x
  2. Step 2: Convert to fraction form
    3,544.90/5,315.57 = 2,064.61/x
  3. Step 3: Cross multiply
    3,544.90x = 5,315.57 × 2,064.61
  4. Step 4: Simplify right side
    3,544.90x = 10,974,578.98
  5. Step 5: Solve for x
    x = 10,974,578.98/3,544.90
  6. Step 6: Final answer
    x = 3,095.88

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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.