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Finding the Fourth Proportional to 3,718.14, 5,100.56 and 3,494.58

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Solution

The fourth proportional to 3,718.14, 5,100.56 and 3,494.58 is: 4,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.14 : 5,100.56 = 3,494.58 : x
  2. Step 2: Convert to fraction form
    3,718.14/5,100.56 = 3,494.58/x
  3. Step 3: Cross multiply
    3,718.14x = 5,100.56 × 3,494.58
  4. Step 4: Simplify right side
    3,718.14x = 17,824,297.49
  5. Step 5: Solve for x
    x = 17,824,297.49/3,718.14
  6. Step 6: Final answer
    x = 4,793.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.