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Finding the Fourth Proportional to 5,098.98, 7,648.44 and 2,638.62

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Solution

The fourth proportional to 5,098.98, 7,648.44 and 2,638.62 is: 3,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.98 : 7,648.44 = 2,638.62 : x
  2. Step 2: Convert to fraction form
    5,098.98/7,648.44 = 2,638.62/x
  3. Step 3: Cross multiply
    5,098.98x = 7,648.44 × 2,638.62
  4. Step 4: Simplify right side
    5,098.98x = 20,181,326.75
  5. Step 5: Solve for x
    x = 20,181,326.75/5,098.98
  6. Step 6: Final answer
    x = 3,957.91

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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.