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Finding the Fourth Proportional to 5,195.54, 7,794.96 and 2,232.56

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Solution

The fourth proportional to 5,195.54, 7,794.96 and 2,232.56 is: 3,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.54 : 7,794.96 = 2,232.56 : x
  2. Step 2: Convert to fraction form
    5,195.54/7,794.96 = 2,232.56/x
  3. Step 3: Cross multiply
    5,195.54x = 7,794.96 × 2,232.56
  4. Step 4: Simplify right side
    5,195.54x = 17,402,715.90
  5. Step 5: Solve for x
    x = 17,402,715.90/5,195.54
  6. Step 6: Final answer
    x = 3,349.55

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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.