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Finding the Fourth Proportional to 4,377.57, 6,568.25 and 2,297.07

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Solution

The fourth proportional to 4,377.57, 6,568.25 and 2,297.07 is: 3,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.57 : 6,568.25 = 2,297.07 : x
  2. Step 2: Convert to fraction form
    4,377.57/6,568.25 = 2,297.07/x
  3. Step 3: Cross multiply
    4,377.57x = 6,568.25 × 2,297.07
  4. Step 4: Simplify right side
    4,377.57x = 15,087,743.93
  5. Step 5: Solve for x
    x = 15,087,743.93/4,377.57
  6. Step 6: Final answer
    x = 3,446.60

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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.