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Finding the Fourth Proportional to 3,660.16, 5,490.30 and 2,016.40

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Solution

The fourth proportional to 3,660.16, 5,490.30 and 2,016.40 is: 3,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.16 : 5,490.30 = 2,016.40 : x
  2. Step 2: Convert to fraction form
    3,660.16/5,490.30 = 2,016.40/x
  3. Step 3: Cross multiply
    3,660.16x = 5,490.30 × 2,016.40
  4. Step 4: Simplify right side
    3,660.16x = 11,070,640.92
  5. Step 5: Solve for x
    x = 11,070,640.92/3,660.16
  6. Step 6: Final answer
    x = 3,024.63

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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.