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Finding the Fourth Proportional to 5,225.76, 7,834.14 and 2,301.84

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Solution

The fourth proportional to 5,225.76, 7,834.14 and 2,301.84 is: 3,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.76 : 7,834.14 = 2,301.84 : x
  2. Step 2: Convert to fraction form
    5,225.76/7,834.14 = 2,301.84/x
  3. Step 3: Cross multiply
    5,225.76x = 7,834.14 × 2,301.84
  4. Step 4: Simplify right side
    5,225.76x = 18,032,936.82
  5. Step 5: Solve for x
    x = 18,032,936.82/5,225.76
  6. Step 6: Final answer
    x = 3,450.78

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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.