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Finding the Fourth Proportional to 3,906.42, 5,388.84 and 2,312.16

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Solution

The fourth proportional to 3,906.42, 5,388.84 and 2,312.16 is: 3,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.42 : 5,388.84 = 2,312.16 : x
  2. Step 2: Convert to fraction form
    3,906.42/5,388.84 = 2,312.16/x
  3. Step 3: Cross multiply
    3,906.42x = 5,388.84 × 2,312.16
  4. Step 4: Simplify right side
    3,906.42x = 12,459,860.29
  5. Step 5: Solve for x
    x = 12,459,860.29/3,906.42
  6. Step 6: Final answer
    x = 3,189.59

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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.