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Finding the Fourth Proportional to 3,792.24, 5,686.31 and 1,709.81

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Solution

The fourth proportional to 3,792.24, 5,686.31 and 1,709.81 is: 2,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.24 : 5,686.31 = 1,709.81 : x
  2. Step 2: Convert to fraction form
    3,792.24/5,686.31 = 1,709.81/x
  3. Step 3: Cross multiply
    3,792.24x = 5,686.31 × 1,709.81
  4. Step 4: Simplify right side
    3,792.24x = 9,722,502.06
  5. Step 5: Solve for x
    x = 9,722,502.06/3,792.24
  6. Step 6: Final answer
    x = 2,563.79

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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.