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Finding the Fourth Proportional to 5,741.87, 7,923.52 and 3,223.93

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Solution

The fourth proportional to 5,741.87, 7,923.52 and 3,223.93 is: 4,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.87 : 7,923.52 = 3,223.93 : x
  2. Step 2: Convert to fraction form
    5,741.87/7,923.52 = 3,223.93/x
  3. Step 3: Cross multiply
    5,741.87x = 7,923.52 × 3,223.93
  4. Step 4: Simplify right side
    5,741.87x = 25,544,875.68
  5. Step 5: Solve for x
    x = 25,544,875.68/5,741.87
  6. Step 6: Final answer
    x = 4,448.88

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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.