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Finding the Fourth Proportional to 4,625.86, 6,935.55 and 3,900.10

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Solution

The fourth proportional to 4,625.86, 6,935.55 and 3,900.10 is: 5,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.86 : 6,935.55 = 3,900.10 : x
  2. Step 2: Convert to fraction form
    4,625.86/6,935.55 = 3,900.10/x
  3. Step 3: Cross multiply
    4,625.86x = 6,935.55 × 3,900.10
  4. Step 4: Simplify right side
    4,625.86x = 27,049,338.56
  5. Step 5: Solve for x
    x = 27,049,338.56/4,625.86
  6. Step 6: Final answer
    x = 5,847.42

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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.