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Finding the Fourth Proportional to 3,906.64, 5,389.45 and 2,334.75

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Solution

The fourth proportional to 3,906.64, 5,389.45 and 2,334.75 is: 3,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.64 : 5,389.45 = 2,334.75 : x
  2. Step 2: Convert to fraction form
    3,906.64/5,389.45 = 2,334.75/x
  3. Step 3: Cross multiply
    3,906.64x = 5,389.45 × 2,334.75
  4. Step 4: Simplify right side
    3,906.64x = 12,583,018.39
  5. Step 5: Solve for x
    x = 12,583,018.39/3,906.64
  6. Step 6: Final answer
    x = 3,220.93

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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.