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Finding the Fourth Proportional to 3,869.32, 5,341 and 2,297.32

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Solution

The fourth proportional to 3,869.32, 5,341 and 2,297.32 is: 3,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.32 : 5,341 = 2,297.32 : x
  2. Step 2: Convert to fraction form
    3,869.32/5,341 = 2,297.32/x
  3. Step 3: Cross multiply
    3,869.32x = 5,341 × 2,297.32
  4. Step 4: Simplify right side
    3,869.32x = 12,269,986.12
  5. Step 5: Solve for x
    x = 12,269,986.12/3,869.32
  6. Step 6: Final answer
    x = 3,171.10

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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.