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Finding the Fourth Proportional to 3,908.78, 5,863.47 and 1,135.49

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Solution

The fourth proportional to 3,908.78, 5,863.47 and 1,135.49 is: 1,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.78 : 5,863.47 = 1,135.49 : x
  2. Step 2: Convert to fraction form
    3,908.78/5,863.47 = 1,135.49/x
  3. Step 3: Cross multiply
    3,908.78x = 5,863.47 × 1,135.49
  4. Step 4: Simplify right side
    3,908.78x = 6,657,882.23
  5. Step 5: Solve for x
    x = 6,657,882.23/3,908.78
  6. Step 6: Final answer
    x = 1,703.32

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