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Finding the Fourth Proportional to 3,490.53, 5,222.82 and 1,952.61

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Solution

The fourth proportional to 3,490.53, 5,222.82 and 1,952.61 is: 2,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.53 : 5,222.82 = 1,952.61 : x
  2. Step 2: Convert to fraction form
    3,490.53/5,222.82 = 1,952.61/x
  3. Step 3: Cross multiply
    3,490.53x = 5,222.82 × 1,952.61
  4. Step 4: Simplify right side
    3,490.53x = 10,198,130.56
  5. Step 5: Solve for x
    x = 10,198,130.56/3,490.53
  6. Step 6: Final answer
    x = 2,921.66

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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.