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Finding the Fourth Proportional to 5,134.69, 7,715.70 and 2,796.42

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Solution

The fourth proportional to 5,134.69, 7,715.70 and 2,796.42 is: 4,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.69 : 7,715.70 = 2,796.42 : x
  2. Step 2: Convert to fraction form
    5,134.69/7,715.70 = 2,796.42/x
  3. Step 3: Cross multiply
    5,134.69x = 7,715.70 × 2,796.42
  4. Step 4: Simplify right side
    5,134.69x = 21,576,337.79
  5. Step 5: Solve for x
    x = 21,576,337.79/5,134.69
  6. Step 6: Final answer
    x = 4,202.07

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