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Finding the Fourth Proportional to 5,171.82, 7,753.08 and 1,882.62

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Solution

The fourth proportional to 5,171.82, 7,753.08 and 1,882.62 is: 2,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.82 : 7,753.08 = 1,882.62 : x
  2. Step 2: Convert to fraction form
    5,171.82/7,753.08 = 1,882.62/x
  3. Step 3: Cross multiply
    5,171.82x = 7,753.08 × 1,882.62
  4. Step 4: Simplify right side
    5,171.82x = 14,596,103.47
  5. Step 5: Solve for x
    x = 14,596,103.47/5,171.82
  6. Step 6: Final answer
    x = 2,822.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.