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Finding the Fourth Proportional to 3,837.59, 5,293.05 and 2,344.29

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Solution

The fourth proportional to 3,837.59, 5,293.05 and 2,344.29 is: 3,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.59 : 5,293.05 = 2,344.29 : x
  2. Step 2: Convert to fraction form
    3,837.59/5,293.05 = 2,344.29/x
  3. Step 3: Cross multiply
    3,837.59x = 5,293.05 × 2,344.29
  4. Step 4: Simplify right side
    3,837.59x = 12,408,415.54
  5. Step 5: Solve for x
    x = 12,408,415.54/3,837.59
  6. Step 6: Final answer
    x = 3,233.38

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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.