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Finding the Fourth Proportional to 4,834.88, 7,253.22 and 3,444.76

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Solution

The fourth proportional to 4,834.88, 7,253.22 and 3,444.76 is: 5,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.88 : 7,253.22 = 3,444.76 : x
  2. Step 2: Convert to fraction form
    4,834.88/7,253.22 = 3,444.76/x
  3. Step 3: Cross multiply
    4,834.88x = 7,253.22 × 3,444.76
  4. Step 4: Simplify right side
    4,834.88x = 24,985,628.87
  5. Step 5: Solve for x
    x = 24,985,628.87/4,834.88
  6. Step 6: Final answer
    x = 5,167.79

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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.