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Finding the Fourth Proportional to 3,976.84, 5,487.66 and 2,297.92

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Solution

The fourth proportional to 3,976.84, 5,487.66 and 2,297.92 is: 3,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.84 : 5,487.66 = 2,297.92 : x
  2. Step 2: Convert to fraction form
    3,976.84/5,487.66 = 2,297.92/x
  3. Step 3: Cross multiply
    3,976.84x = 5,487.66 × 2,297.92
  4. Step 4: Simplify right side
    3,976.84x = 12,610,203.67
  5. Step 5: Solve for x
    x = 12,610,203.67/3,976.84
  6. Step 6: Final answer
    x = 3,170.91

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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.