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Finding the Fourth Proportional to 3,468.15, 4,786.05 and 2,475.15

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Solution

The fourth proportional to 3,468.15, 4,786.05 and 2,475.15 is: 3,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.15 : 4,786.05 = 2,475.15 : x
  2. Step 2: Convert to fraction form
    3,468.15/4,786.05 = 2,475.15/x
  3. Step 3: Cross multiply
    3,468.15x = 4,786.05 × 2,475.15
  4. Step 4: Simplify right side
    3,468.15x = 11,846,191.66
  5. Step 5: Solve for x
    x = 11,846,191.66/3,468.15
  6. Step 6: Final answer
    x = 3,415.71

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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.