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Finding the Fourth Proportional to 4,834.62, 7,261.65 and 4,224.69

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Solution

The fourth proportional to 4,834.62, 7,261.65 and 4,224.69 is: 6,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.62 : 7,261.65 = 4,224.69 : x
  2. Step 2: Convert to fraction form
    4,834.62/7,261.65 = 4,224.69/x
  3. Step 3: Cross multiply
    4,834.62x = 7,261.65 × 4,224.69
  4. Step 4: Simplify right side
    4,834.62x = 30,678,220.14
  5. Step 5: Solve for x
    x = 30,678,220.14/4,834.62
  6. Step 6: Final answer
    x = 6,345.53

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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.