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Finding the Fourth Proportional to 3,908.78, 5,863.47 and 1,135.50

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Solution

The fourth proportional to 3,908.78, 5,863.47 and 1,135.50 is: 1,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.78 : 5,863.47 = 1,135.50 : x
  2. Step 2: Convert to fraction form
    3,908.78/5,863.47 = 1,135.50/x
  3. Step 3: Cross multiply
    3,908.78x = 5,863.47 × 1,135.50
  4. Step 4: Simplify right side
    3,908.78x = 6,657,940.87
  5. Step 5: Solve for x
    x = 6,657,940.87/3,908.78
  6. Step 6: Final answer
    x = 1,703.33

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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.