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Finding the Fourth Proportional to 3,490.36, 5,233.49 and 1,410.43

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Solution

The fourth proportional to 3,490.36, 5,233.49 and 1,410.43 is: 2,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.36 : 5,233.49 = 1,410.43 : x
  2. Step 2: Convert to fraction form
    3,490.36/5,233.49 = 1,410.43/x
  3. Step 3: Cross multiply
    3,490.36x = 5,233.49 × 1,410.43
  4. Step 4: Simplify right side
    3,490.36x = 7,381,471.30
  5. Step 5: Solve for x
    x = 7,381,471.30/3,490.36
  6. Step 6: Final answer
    x = 2,114.82

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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.