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Finding the Fourth Proportional to 5,932.52, 8,186.64 and 3,694.24

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Solution

The fourth proportional to 5,932.52, 8,186.64 and 3,694.24 is: 5,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.52 : 8,186.64 = 3,694.24 : x
  2. Step 2: Convert to fraction form
    5,932.52/8,186.64 = 3,694.24/x
  3. Step 3: Cross multiply
    5,932.52x = 8,186.64 × 3,694.24
  4. Step 4: Simplify right side
    5,932.52x = 30,243,412.95
  5. Step 5: Solve for x
    x = 30,243,412.95/5,932.52
  6. Step 6: Final answer
    x = 5,097.90

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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.