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Finding the Fourth Proportional to 5,145.50, 7,711.46 and 2,806.52

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Solution

The fourth proportional to 5,145.50, 7,711.46 and 2,806.52 is: 4,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.50 : 7,711.46 = 2,806.52 : x
  2. Step 2: Convert to fraction form
    5,145.50/7,711.46 = 2,806.52/x
  3. Step 3: Cross multiply
    5,145.50x = 7,711.46 × 2,806.52
  4. Step 4: Simplify right side
    5,145.50x = 21,642,335.18
  5. Step 5: Solve for x
    x = 21,642,335.18/5,145.50
  6. Step 6: Final answer
    x = 4,206.07

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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.