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Finding the Fourth Proportional to 4,834.04, 7,250.04 and 1,911.78

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Solution

The fourth proportional to 4,834.04, 7,250.04 and 1,911.78 is: 2,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.04 : 7,250.04 = 1,911.78 : x
  2. Step 2: Convert to fraction form
    4,834.04/7,250.04 = 1,911.78/x
  3. Step 3: Cross multiply
    4,834.04x = 7,250.04 × 1,911.78
  4. Step 4: Simplify right side
    4,834.04x = 13,860,481.47
  5. Step 5: Solve for x
    x = 13,860,481.47/4,834.04
  6. Step 6: Final answer
    x = 2,867.27

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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.