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Finding the Fourth Proportional to 3,838.62, 5,297.58 and 2,160.30

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Solution

The fourth proportional to 3,838.62, 5,297.58 and 2,160.30 is: 2,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.62 : 5,297.58 = 2,160.30 : x
  2. Step 2: Convert to fraction form
    3,838.62/5,297.58 = 2,160.30/x
  3. Step 3: Cross multiply
    3,838.62x = 5,297.58 × 2,160.30
  4. Step 4: Simplify right side
    3,838.62x = 11,444,362.07
  5. Step 5: Solve for x
    x = 11,444,362.07/3,838.62
  6. Step 6: Final answer
    x = 2,981.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.