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Finding the Fourth Proportional to 3,908.74, 5,863.42 and 1,135.46

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Solution

The fourth proportional to 3,908.74, 5,863.42 and 1,135.46 is: 1,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.74 : 5,863.42 = 1,135.46 : x
  2. Step 2: Convert to fraction form
    3,908.74/5,863.42 = 1,135.46/x
  3. Step 3: Cross multiply
    3,908.74x = 5,863.42 × 1,135.46
  4. Step 4: Simplify right side
    3,908.74x = 6,657,678.87
  5. Step 5: Solve for x
    x = 6,657,678.87/3,908.74
  6. Step 6: Final answer
    x = 1,703.28

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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.