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Finding the Fourth Proportional to 3,753.65, 5,180.04 and 2,261.63

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Solution

The fourth proportional to 3,753.65, 5,180.04 and 2,261.63 is: 3,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.65 : 5,180.04 = 2,261.63 : x
  2. Step 2: Convert to fraction form
    3,753.65/5,180.04 = 2,261.63/x
  3. Step 3: Cross multiply
    3,753.65x = 5,180.04 × 2,261.63
  4. Step 4: Simplify right side
    3,753.65x = 11,715,296.66
  5. Step 5: Solve for x
    x = 11,715,296.66/3,753.65
  6. Step 6: Final answer
    x = 3,121.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.