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Finding the Fourth Proportional to 3,838.97, 5,297.79 and 2,160.45

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Solution

The fourth proportional to 3,838.97, 5,297.79 and 2,160.45 is: 2,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.97 : 5,297.79 = 2,160.45 : x
  2. Step 2: Convert to fraction form
    3,838.97/5,297.79 = 2,160.45/x
  3. Step 3: Cross multiply
    3,838.97x = 5,297.79 × 2,160.45
  4. Step 4: Simplify right side
    3,838.97x = 11,445,610.41
  5. Step 5: Solve for x
    x = 11,445,610.41/3,838.97
  6. Step 6: Final answer
    x = 2,981.43

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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.