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Finding the Fourth Proportional to 5,741.62, 7,923.42 and 3,351.40

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Solution

The fourth proportional to 5,741.62, 7,923.42 and 3,351.40 is: 4,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.62 : 7,923.42 = 3,351.40 : x
  2. Step 2: Convert to fraction form
    5,741.62/7,923.42 = 3,351.40/x
  3. Step 3: Cross multiply
    5,741.62x = 7,923.42 × 3,351.40
  4. Step 4: Simplify right side
    5,741.62x = 26,554,529.98
  5. Step 5: Solve for x
    x = 26,554,529.98/5,741.62
  6. Step 6: Final answer
    x = 4,624.92

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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.