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Finding the Fourth Proportional to 3,490.87, 5,236.49 and 1,150.78

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Solution

The fourth proportional to 3,490.87, 5,236.49 and 1,150.78 is: 1,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.87 : 5,236.49 = 1,150.78 : x
  2. Step 2: Convert to fraction form
    3,490.87/5,236.49 = 1,150.78/x
  3. Step 3: Cross multiply
    3,490.87x = 5,236.49 × 1,150.78
  4. Step 4: Simplify right side
    3,490.87x = 6,026,047.96
  5. Step 5: Solve for x
    x = 6,026,047.96/3,490.87
  6. Step 6: Final answer
    x = 1,726.23

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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.