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Finding the Fourth Proportional to 5,076.57, 7,610.76 and 2,152.83

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Solution

The fourth proportional to 5,076.57, 7,610.76 and 2,152.83 is: 3,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.57 : 7,610.76 = 2,152.83 : x
  2. Step 2: Convert to fraction form
    5,076.57/7,610.76 = 2,152.83/x
  3. Step 3: Cross multiply
    5,076.57x = 7,610.76 × 2,152.83
  4. Step 4: Simplify right side
    5,076.57x = 16,384,658.18
  5. Step 5: Solve for x
    x = 16,384,658.18/5,076.57
  6. Step 6: Final answer
    x = 3,227.50

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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.