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Finding the Fourth Proportional to 3,773.14, 5,206.11 and 2,281.03

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Solution

The fourth proportional to 3,773.14, 5,206.11 and 2,281.03 is: 3,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.14 : 5,206.11 = 2,281.03 : x
  2. Step 2: Convert to fraction form
    3,773.14/5,206.11 = 2,281.03/x
  3. Step 3: Cross multiply
    3,773.14x = 5,206.11 × 2,281.03
  4. Step 4: Simplify right side
    3,773.14x = 11,875,293.09
  5. Step 5: Solve for x
    x = 11,875,293.09/3,773.14
  6. Step 6: Final answer
    x = 3,147.32

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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.