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Finding the Fourth Proportional to 3,869.64, 5,340.06 and 2,297.76

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Solution

The fourth proportional to 3,869.64, 5,340.06 and 2,297.76 is: 3,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.64 : 5,340.06 = 2,297.76 : x
  2. Step 2: Convert to fraction form
    3,869.64/5,340.06 = 2,297.76/x
  3. Step 3: Cross multiply
    3,869.64x = 5,340.06 × 2,297.76
  4. Step 4: Simplify right side
    3,869.64x = 12,270,176.27
  5. Step 5: Solve for x
    x = 12,270,176.27/3,869.64
  6. Step 6: Final answer
    x = 3,170.88

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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.