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Finding the Fourth Proportional to 4,510.52, 6,747.76 and 3,900.80

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Solution

The fourth proportional to 4,510.52, 6,747.76 and 3,900.80 is: 5,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.52 : 6,747.76 = 3,900.80 : x
  2. Step 2: Convert to fraction form
    4,510.52/6,747.76 = 3,900.80/x
  3. Step 3: Cross multiply
    4,510.52x = 6,747.76 × 3,900.80
  4. Step 4: Simplify right side
    4,510.52x = 26,321,662.21
  5. Step 5: Solve for x
    x = 26,321,662.21/4,510.52
  6. Step 6: Final answer
    x = 5,835.62

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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.