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Finding the Fourth Proportional to 4,793.76, 7,191.13 and 1,834.69

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Solution

The fourth proportional to 4,793.76, 7,191.13 and 1,834.69 is: 2,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.76 : 7,191.13 = 1,834.69 : x
  2. Step 2: Convert to fraction form
    4,793.76/7,191.13 = 1,834.69/x
  3. Step 3: Cross multiply
    4,793.76x = 7,191.13 × 1,834.69
  4. Step 4: Simplify right side
    4,793.76x = 13,193,472.22
  5. Step 5: Solve for x
    x = 13,193,472.22/4,793.76
  6. Step 6: Final answer
    x = 2,752.22

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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.