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Finding the Fourth Proportional to 4,377.66, 6,568.44 and 2,297.18

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Solution

The fourth proportional to 4,377.66, 6,568.44 and 2,297.18 is: 3,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.66 : 6,568.44 = 2,297.18 : x
  2. Step 2: Convert to fraction form
    4,377.66/6,568.44 = 2,297.18/x
  3. Step 3: Cross multiply
    4,377.66x = 6,568.44 × 2,297.18
  4. Step 4: Simplify right side
    4,377.66x = 15,088,889.00
  5. Step 5: Solve for x
    x = 15,088,889.00/4,377.66
  6. Step 6: Final answer
    x = 3,446.79

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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.