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Finding the Fourth Proportional to 3,847.94, 5,310.42 and 2,902.06

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Solution

The fourth proportional to 3,847.94, 5,310.42 and 2,902.06 is: 4,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.94 : 5,310.42 = 2,902.06 : x
  2. Step 2: Convert to fraction form
    3,847.94/5,310.42 = 2,902.06/x
  3. Step 3: Cross multiply
    3,847.94x = 5,310.42 × 2,902.06
  4. Step 4: Simplify right side
    3,847.94x = 15,411,157.47
  5. Step 5: Solve for x
    x = 15,411,157.47/3,847.94
  6. Step 6: Final answer
    x = 4,005.04

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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.