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Finding the Fourth Proportional to 4,604.26, 6,913.42 and 4,414.72

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Solution

The fourth proportional to 4,604.26, 6,913.42 and 4,414.72 is: 6,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.26 : 6,913.42 = 4,414.72 : x
  2. Step 2: Convert to fraction form
    4,604.26/6,913.42 = 4,414.72/x
  3. Step 3: Cross multiply
    4,604.26x = 6,913.42 × 4,414.72
  4. Step 4: Simplify right side
    4,604.26x = 30,520,756.90
  5. Step 5: Solve for x
    x = 30,520,756.90/4,604.26
  6. Step 6: Final answer
    x = 6,628.82

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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.