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Finding the Fourth Proportional to 3,777.44, 5,664.24 and 1,724

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Solution

The fourth proportional to 3,777.44, 5,664.24 and 1,724 is: 2,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.44 : 5,664.24 = 1,724 : x
  2. Step 2: Convert to fraction form
    3,777.44/5,664.24 = 1,724/x
  3. Step 3: Cross multiply
    3,777.44x = 5,664.24 × 1,724
  4. Step 4: Simplify right side
    3,777.44x = 9,765,149.76
  5. Step 5: Solve for x
    x = 9,765,149.76/3,777.44
  6. Step 6: Final answer
    x = 2,585.12

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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.