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Finding the Fourth Proportional to 3,474.97, 4,797.71 and 3,101.32

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Solution

The fourth proportional to 3,474.97, 4,797.71 and 3,101.32 is: 4,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.97 : 4,797.71 = 3,101.32 : x
  2. Step 2: Convert to fraction form
    3,474.97/4,797.71 = 3,101.32/x
  3. Step 3: Cross multiply
    3,474.97x = 4,797.71 × 3,101.32
  4. Step 4: Simplify right side
    3,474.97x = 14,879,233.98
  5. Step 5: Solve for x
    x = 14,879,233.98/3,474.97
  6. Step 6: Final answer
    x = 4,281.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.