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Finding the Fourth Proportional to 3,902.90, 5,856.16 and 2,343.44

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Solution

The fourth proportional to 3,902.90, 5,856.16 and 2,343.44 is: 3,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.90 : 5,856.16 = 2,343.44 : x
  2. Step 2: Convert to fraction form
    3,902.90/5,856.16 = 2,343.44/x
  3. Step 3: Cross multiply
    3,902.90x = 5,856.16 × 2,343.44
  4. Step 4: Simplify right side
    3,902.90x = 13,723,559.59
  5. Step 5: Solve for x
    x = 13,723,559.59/3,902.90
  6. Step 6: Final answer
    x = 3,516.25

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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.