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Finding the Fourth Proportional to 3,908.50, 5,864.19 and 2,059.54

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Solution

The fourth proportional to 3,908.50, 5,864.19 and 2,059.54 is: 3,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.50 : 5,864.19 = 2,059.54 : x
  2. Step 2: Convert to fraction form
    3,908.50/5,864.19 = 2,059.54/x
  3. Step 3: Cross multiply
    3,908.50x = 5,864.19 × 2,059.54
  4. Step 4: Simplify right side
    3,908.50x = 12,077,533.87
  5. Step 5: Solve for x
    x = 12,077,533.87/3,908.50
  6. Step 6: Final answer
    x = 3,090.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.