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Finding the Fourth Proportional to 5,193.87, 7,783.22 and 2,560.59

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Solution

The fourth proportional to 5,193.87, 7,783.22 and 2,560.59 is: 3,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.87 : 7,783.22 = 2,560.59 : x
  2. Step 2: Convert to fraction form
    5,193.87/7,783.22 = 2,560.59/x
  3. Step 3: Cross multiply
    5,193.87x = 7,783.22 × 2,560.59
  4. Step 4: Simplify right side
    5,193.87x = 19,929,622.50
  5. Step 5: Solve for x
    x = 19,929,622.50/5,193.87
  6. Step 6: Final answer
    x = 3,837.14

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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.