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Finding the Fourth Proportional to 5,257.98, 7,874.01 and 3,305.34

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Solution

The fourth proportional to 5,257.98, 7,874.01 and 3,305.34 is: 4,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.98 : 7,874.01 = 3,305.34 : x
  2. Step 2: Convert to fraction form
    5,257.98/7,874.01 = 3,305.34/x
  3. Step 3: Cross multiply
    5,257.98x = 7,874.01 × 3,305.34
  4. Step 4: Simplify right side
    5,257.98x = 26,026,280.21
  5. Step 5: Solve for x
    x = 26,026,280.21/5,257.98
  6. Step 6: Final answer
    x = 4,949.86

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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.