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Finding the Fourth Proportional to 5,248.32, 7,874.12 and 3,297.84

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Solution

The fourth proportional to 5,248.32, 7,874.12 and 3,297.84 is: 4,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.32 : 7,874.12 = 3,297.84 : x
  2. Step 2: Convert to fraction form
    5,248.32/7,874.12 = 3,297.84/x
  3. Step 3: Cross multiply
    5,248.32x = 7,874.12 × 3,297.84
  4. Step 4: Simplify right side
    5,248.32x = 25,967,587.90
  5. Step 5: Solve for x
    x = 25,967,587.90/5,248.32
  6. Step 6: Final answer
    x = 4,947.79

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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.