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Finding the Fourth Proportional to 5,356.40, 8,028.39 and 3,166.97

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Solution

The fourth proportional to 5,356.40, 8,028.39 and 3,166.97 is: 4,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.40 : 8,028.39 = 3,166.97 : x
  2. Step 2: Convert to fraction form
    5,356.40/8,028.39 = 3,166.97/x
  3. Step 3: Cross multiply
    5,356.40x = 8,028.39 × 3,166.97
  4. Step 4: Simplify right side
    5,356.40x = 25,425,670.28
  5. Step 5: Solve for x
    x = 25,425,670.28/5,356.40
  6. Step 6: Final answer
    x = 4,746.78

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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.