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Finding the Fourth Proportional to 3,773.13, 5,206.91 and 2,200.92

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Solution

The fourth proportional to 3,773.13, 5,206.91 and 2,200.92 is: 3,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.13 : 5,206.91 = 2,200.92 : x
  2. Step 2: Convert to fraction form
    3,773.13/5,206.91 = 2,200.92/x
  3. Step 3: Cross multiply
    3,773.13x = 5,206.91 × 2,200.92
  4. Step 4: Simplify right side
    3,773.13x = 11,459,992.36
  5. Step 5: Solve for x
    x = 11,459,992.36/3,773.13
  6. Step 6: Final answer
    x = 3,037.26

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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.