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Finding the Fourth Proportional to 3,837.58, 5,295.81 and 2,158.99

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Solution

The fourth proportional to 3,837.58, 5,295.81 and 2,158.99 is: 2,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.58 : 5,295.81 = 2,158.99 : x
  2. Step 2: Convert to fraction form
    3,837.58/5,295.81 = 2,158.99/x
  3. Step 3: Cross multiply
    3,837.58x = 5,295.81 × 2,158.99
  4. Step 4: Simplify right side
    3,837.58x = 11,433,595.69
  5. Step 5: Solve for x
    x = 11,433,595.69/3,837.58
  6. Step 6: Final answer
    x = 2,979.38

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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.