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Finding the Fourth Proportional to 5,256.28, 7,867.41 and 3,869.32

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Solution

The fourth proportional to 5,256.28, 7,867.41 and 3,869.32 is: 5,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.28 : 7,867.41 = 3,869.32 : x
  2. Step 2: Convert to fraction form
    5,256.28/7,867.41 = 3,869.32/x
  3. Step 3: Cross multiply
    5,256.28x = 7,867.41 × 3,869.32
  4. Step 4: Simplify right side
    5,256.28x = 30,441,526.86
  5. Step 5: Solve for x
    x = 30,441,526.86/5,256.28
  6. Step 6: Final answer
    x = 5,791.46

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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.