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Finding the Fourth Proportional to 4,377.41, 6,568.07 and 2,296.93

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Solution

The fourth proportional to 4,377.41, 6,568.07 and 2,296.93 is: 3,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.41 : 6,568.07 = 2,296.93 : x
  2. Step 2: Convert to fraction form
    4,377.41/6,568.07 = 2,296.93/x
  3. Step 3: Cross multiply
    4,377.41x = 6,568.07 × 2,296.93
  4. Step 4: Simplify right side
    4,377.41x = 15,086,397.03
  5. Step 5: Solve for x
    x = 15,086,397.03/4,377.41
  6. Step 6: Final answer
    x = 3,446.42

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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.