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Finding the Fourth Proportional to 5,127.71, 7,076.23 and 2,769.85

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Solution

The fourth proportional to 5,127.71, 7,076.23 and 2,769.85 is: 3,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.71 : 7,076.23 = 2,769.85 : x
  2. Step 2: Convert to fraction form
    5,127.71/7,076.23 = 2,769.85/x
  3. Step 3: Cross multiply
    5,127.71x = 7,076.23 × 2,769.85
  4. Step 4: Simplify right side
    5,127.71x = 19,600,095.67
  5. Step 5: Solve for x
    x = 19,600,095.67/5,127.71
  6. Step 6: Final answer
    x = 3,822.39

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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.