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Finding the Fourth Proportional to 3,838.59, 5,297.40 and 2,160.27

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Solution

The fourth proportional to 3,838.59, 5,297.40 and 2,160.27 is: 2,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.59 : 5,297.40 = 2,160.27 : x
  2. Step 2: Convert to fraction form
    3,838.59/5,297.40 = 2,160.27/x
  3. Step 3: Cross multiply
    3,838.59x = 5,297.40 × 2,160.27
  4. Step 4: Simplify right side
    3,838.59x = 11,443,814.30
  5. Step 5: Solve for x
    x = 11,443,814.30/3,838.59
  6. Step 6: Final answer
    x = 2,981.25

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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.