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Finding the Fourth Proportional to 5,932.08, 8,187.08 and 3,414.14

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Solution

The fourth proportional to 5,932.08, 8,187.08 and 3,414.14 is: 4,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.08 : 8,187.08 = 3,414.14 : x
  2. Step 2: Convert to fraction form
    5,932.08/8,187.08 = 3,414.14/x
  3. Step 3: Cross multiply
    5,932.08x = 8,187.08 × 3,414.14
  4. Step 4: Simplify right side
    5,932.08x = 27,951,837.31
  5. Step 5: Solve for x
    x = 27,951,837.31/5,932.08
  6. Step 6: Final answer
    x = 4,711.98

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1.5x scale

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.