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Finding the Fourth Proportional to 5,135, 7,086.28 and 2,777.12

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Solution

The fourth proportional to 5,135, 7,086.28 and 2,777.12 is: 3,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135 : 7,086.28 = 2,777.12 : x
  2. Step 2: Convert to fraction form
    5,135/7,086.28 = 2,777.12/x
  3. Step 3: Cross multiply
    5,135x = 7,086.28 × 2,777.12
  4. Step 4: Simplify right side
    5,135x = 19,679,449.91
  5. Step 5: Solve for x
    x = 19,679,449.91/5,135
  6. Step 6: Final answer
    x = 3,832.41

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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.