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Finding the Fourth Proportional to 3,641.23, 5,023.31 and 2,314.22

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Solution

The fourth proportional to 3,641.23, 5,023.31 and 2,314.22 is: 3,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.23 : 5,023.31 = 2,314.22 : x
  2. Step 2: Convert to fraction form
    3,641.23/5,023.31 = 2,314.22/x
  3. Step 3: Cross multiply
    3,641.23x = 5,023.31 × 2,314.22
  4. Step 4: Simplify right side
    3,641.23x = 11,625,044.47
  5. Step 5: Solve for x
    x = 11,625,044.47/3,641.23
  6. Step 6: Final answer
    x = 3,192.61

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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.