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Finding the Fourth Proportional to 3,497.41, 5,221.87 and 3,462.35

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Solution

The fourth proportional to 3,497.41, 5,221.87 and 3,462.35 is: 5,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.41 : 5,221.87 = 3,462.35 : x
  2. Step 2: Convert to fraction form
    3,497.41/5,221.87 = 3,462.35/x
  3. Step 3: Cross multiply
    3,497.41x = 5,221.87 × 3,462.35
  4. Step 4: Simplify right side
    3,497.41x = 18,079,906.83
  5. Step 5: Solve for x
    x = 18,079,906.83/3,497.41
  6. Step 6: Final answer
    x = 5,169.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.