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Finding the Fourth Proportional to 3,773.47, 5,206.60 and 2,281.10

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Solution

The fourth proportional to 3,773.47, 5,206.60 and 2,281.10 is: 3,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.47 : 5,206.60 = 2,281.10 : x
  2. Step 2: Convert to fraction form
    3,773.47/5,206.60 = 2,281.10/x
  3. Step 3: Cross multiply
    3,773.47x = 5,206.60 × 2,281.10
  4. Step 4: Simplify right side
    3,773.47x = 11,876,739.25
  5. Step 5: Solve for x
    x = 11,876,739.25/3,773.47
  6. Step 6: Final answer
    x = 3,147.43

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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.