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Finding the Fourth Proportional to 3,838.70, 5,297.87 and 2,160.18

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Solution

The fourth proportional to 3,838.70, 5,297.87 and 2,160.18 is: 2,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.70 : 5,297.87 = 2,160.18 : x
  2. Step 2: Convert to fraction form
    3,838.70/5,297.87 = 2,160.18/x
  3. Step 3: Cross multiply
    3,838.70x = 5,297.87 × 2,160.18
  4. Step 4: Simplify right side
    3,838.70x = 11,444,326.33
  5. Step 5: Solve for x
    x = 11,444,326.33/3,838.70
  6. Step 6: Final answer
    x = 2,981.31

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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.