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Finding the Fourth Proportional to 3,838.78, 5,753.43 and 1,988.83

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Solution

The fourth proportional to 3,838.78, 5,753.43 and 1,988.83 is: 2,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.78 : 5,753.43 = 1,988.83 : x
  2. Step 2: Convert to fraction form
    3,838.78/5,753.43 = 1,988.83/x
  3. Step 3: Cross multiply
    3,838.78x = 5,753.43 × 1,988.83
  4. Step 4: Simplify right side
    3,838.78x = 11,442,579.80
  5. Step 5: Solve for x
    x = 11,442,579.80/3,838.78
  6. Step 6: Final answer
    x = 2,980.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.