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Finding the Fourth Proportional to 5,193.96, 7,165.32 and 3,774

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Solution

The fourth proportional to 5,193.96, 7,165.32 and 3,774 is: 5,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.96 : 7,165.32 = 3,774 : x
  2. Step 2: Convert to fraction form
    5,193.96/7,165.32 = 3,774/x
  3. Step 3: Cross multiply
    5,193.96x = 7,165.32 × 3,774
  4. Step 4: Simplify right side
    5,193.96x = 27,041,917.68
  5. Step 5: Solve for x
    x = 27,041,917.68/5,193.96
  6. Step 6: Final answer
    x = 5,206.42

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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.