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Finding the Fourth Proportional to 3,661.13, 5,480.92 and 2,270.00

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Solution

The fourth proportional to 3,661.13, 5,480.92 and 2,270.00 is: 3,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.13 : 5,480.92 = 2,270.00 : x
  2. Step 2: Convert to fraction form
    3,661.13/5,480.92 = 2,270.00/x
  3. Step 3: Cross multiply
    3,661.13x = 5,480.92 × 2,270.00
  4. Step 4: Simplify right side
    3,661.13x = 12,441,649.65
  5. Step 5: Solve for x
    x = 12,441,649.65/3,661.13
  6. Step 6: Final answer
    x = 3,398.31

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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.