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Finding the Fourth Proportional to 5,098.31, 7,649.51 and 2,326.29

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Solution

The fourth proportional to 5,098.31, 7,649.51 and 2,326.29 is: 3,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.31 : 7,649.51 = 2,326.29 : x
  2. Step 2: Convert to fraction form
    5,098.31/7,649.51 = 2,326.29/x
  3. Step 3: Cross multiply
    5,098.31x = 7,649.51 × 2,326.29
  4. Step 4: Simplify right side
    5,098.31x = 17,794,978.62
  5. Step 5: Solve for x
    x = 17,794,978.62/5,098.31
  6. Step 6: Final answer
    x = 3,490.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.