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Finding the Fourth Proportional to 3,902.64, 5,855.79 and 2,343.18

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Solution

The fourth proportional to 3,902.64, 5,855.79 and 2,343.18 is: 3,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.64 : 5,855.79 = 2,343.18 : x
  2. Step 2: Convert to fraction form
    3,902.64/5,855.79 = 2,343.18/x
  3. Step 3: Cross multiply
    3,902.64x = 5,855.79 × 2,343.18
  4. Step 4: Simplify right side
    3,902.64x = 13,721,170.01
  5. Step 5: Solve for x
    x = 13,721,170.01/3,902.64
  6. Step 6: Final answer
    x = 3,515.87

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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.