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Finding the Fourth Proportional to 3,838.47, 5,297.28 and 2,160.42

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Solution

The fourth proportional to 3,838.47, 5,297.28 and 2,160.42 is: 2,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.47 : 5,297.28 = 2,160.42 : x
  2. Step 2: Convert to fraction form
    3,838.47/5,297.28 = 2,160.42/x
  3. Step 3: Cross multiply
    3,838.47x = 5,297.28 × 2,160.42
  4. Step 4: Simplify right side
    3,838.47x = 11,444,349.66
  5. Step 5: Solve for x
    x = 11,444,349.66/3,838.47
  6. Step 6: Final answer
    x = 2,981.49

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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.