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Finding the Fourth Proportional to 4,297.32, 5,930.42 and 2,619

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Solution

The fourth proportional to 4,297.32, 5,930.42 and 2,619 is: 3,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.32 : 5,930.42 = 2,619 : x
  2. Step 2: Convert to fraction form
    4,297.32/5,930.42 = 2,619/x
  3. Step 3: Cross multiply
    4,297.32x = 5,930.42 × 2,619
  4. Step 4: Simplify right side
    4,297.32x = 15,531,756.89
  5. Step 5: Solve for x
    x = 15,531,756.89/4,297.32
  6. Step 6: Final answer
    x = 3,614.29

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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.