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Finding the Fourth Proportional to 3,853.98, 5,318.07 and 2,197.98

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Solution

The fourth proportional to 3,853.98, 5,318.07 and 2,197.98 is: 3,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.98 : 5,318.07 = 2,197.98 : x
  2. Step 2: Convert to fraction form
    3,853.98/5,318.07 = 2,197.98/x
  3. Step 3: Cross multiply
    3,853.98x = 5,318.07 × 2,197.98
  4. Step 4: Simplify right side
    3,853.98x = 11,689,011.50
  5. Step 5: Solve for x
    x = 11,689,011.50/3,853.98
  6. Step 6: Final answer
    x = 3,032.97

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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.