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Finding the Fourth Proportional to 5,349.28, 8,024 and 1,886.56

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Solution

The fourth proportional to 5,349.28, 8,024 and 1,886.56 is: 2,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.28 : 8,024 = 1,886.56 : x
  2. Step 2: Convert to fraction form
    5,349.28/8,024 = 1,886.56/x
  3. Step 3: Cross multiply
    5,349.28x = 8,024 × 1,886.56
  4. Step 4: Simplify right side
    5,349.28x = 15,137,757.44
  5. Step 5: Solve for x
    x = 15,137,757.44/5,349.28
  6. Step 6: Final answer
    x = 2,829.87

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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.