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Finding the Fourth Proportional to 3,773.22, 5,207.25 and 2,281.13

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Solution

The fourth proportional to 3,773.22, 5,207.25 and 2,281.13 is: 3,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.22 : 5,207.25 = 2,281.13 : x
  2. Step 2: Convert to fraction form
    3,773.22/5,207.25 = 2,281.13/x
  3. Step 3: Cross multiply
    3,773.22x = 5,207.25 × 2,281.13
  4. Step 4: Simplify right side
    3,773.22x = 11,878,388.16
  5. Step 5: Solve for x
    x = 11,878,388.16/3,773.22
  6. Step 6: Final answer
    x = 3,148.08

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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.