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Finding the Fourth Proportional to 3,906.45, 5,389.18 and 2,333.63

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Solution

The fourth proportional to 3,906.45, 5,389.18 and 2,333.63 is: 3,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.45 : 5,389.18 = 2,333.63 : x
  2. Step 2: Convert to fraction form
    3,906.45/5,389.18 = 2,333.63/x
  3. Step 3: Cross multiply
    3,906.45x = 5,389.18 × 2,333.63
  4. Step 4: Simplify right side
    3,906.45x = 12,576,313.51
  5. Step 5: Solve for x
    x = 12,576,313.51/3,906.45
  6. Step 6: Final answer
    x = 3,219.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.