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Finding the Fourth Proportional to 5,213.82, 7,826.01 and 4,624.68

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Solution

The fourth proportional to 5,213.82, 7,826.01 and 4,624.68 is: 6,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.82 : 7,826.01 = 4,624.68 : x
  2. Step 2: Convert to fraction form
    5,213.82/7,826.01 = 4,624.68/x
  3. Step 3: Cross multiply
    5,213.82x = 7,826.01 × 4,624.68
  4. Step 4: Simplify right side
    5,213.82x = 36,192,791.93
  5. Step 5: Solve for x
    x = 36,192,791.93/5,213.82
  6. Step 6: Final answer
    x = 6,941.70

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1.5x scale

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.