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Finding the Fourth Proportional to 6,204.87, 8,560.77 and 3,551.77

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Solution

The fourth proportional to 6,204.87, 8,560.77 and 3,551.77 is: 4,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.87 : 8,560.77 = 3,551.77 : x
  2. Step 2: Convert to fraction form
    6,204.87/8,560.77 = 3,551.77/x
  3. Step 3: Cross multiply
    6,204.87x = 8,560.77 × 3,551.77
  4. Step 4: Simplify right side
    6,204.87x = 30,405,843.26
  5. Step 5: Solve for x
    x = 30,405,843.26/6,204.87
  6. Step 6: Final answer
    x = 4,900.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.