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Finding the Fourth Proportional to 5,685.64, 7,837.10 and 3,793.48

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Solution

The fourth proportional to 5,685.64, 7,837.10 and 3,793.48 is: 5,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.64 : 7,837.10 = 3,793.48 : x
  2. Step 2: Convert to fraction form
    5,685.64/7,837.10 = 3,793.48/x
  3. Step 3: Cross multiply
    5,685.64x = 7,837.10 × 3,793.48
  4. Step 4: Simplify right side
    5,685.64x = 29,729,863.14
  5. Step 5: Solve for x
    x = 29,729,863.14/5,685.64
  6. Step 6: Final answer
    x = 5,228.94

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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.