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Finding the Fourth Proportional to 3,773.17, 5,206.51 and 2,179.80

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Solution

The fourth proportional to 3,773.17, 5,206.51 and 2,179.80 is: 3,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.17 : 5,206.51 = 2,179.80 : x
  2. Step 2: Convert to fraction form
    3,773.17/5,206.51 = 2,179.80/x
  3. Step 3: Cross multiply
    3,773.17x = 5,206.51 × 2,179.80
  4. Step 4: Simplify right side
    3,773.17x = 11,349,150.50
  5. Step 5: Solve for x
    x = 11,349,150.50/3,773.17
  6. Step 6: Final answer
    x = 3,007.86

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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.