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Finding the Fourth Proportional to 4,165.56, 5,744.75 and 3,456.28

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Solution

The fourth proportional to 4,165.56, 5,744.75 and 3,456.28 is: 4,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.56 : 5,744.75 = 3,456.28 : x
  2. Step 2: Convert to fraction form
    4,165.56/5,744.75 = 3,456.28/x
  3. Step 3: Cross multiply
    4,165.56x = 5,744.75 × 3,456.28
  4. Step 4: Simplify right side
    4,165.56x = 19,855,464.53
  5. Step 5: Solve for x
    x = 19,855,464.53/4,165.56
  6. Step 6: Final answer
    x = 4,766.58

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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.