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Finding the Fourth Proportional to 3,463.78, 4,773.15 and 2,467.30

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Solution

The fourth proportional to 3,463.78, 4,773.15 and 2,467.30 is: 3,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.78 : 4,773.15 = 2,467.30 : x
  2. Step 2: Convert to fraction form
    3,463.78/4,773.15 = 2,467.30/x
  3. Step 3: Cross multiply
    3,463.78x = 4,773.15 × 2,467.30
  4. Step 4: Simplify right side
    3,463.78x = 11,776,793.00
  5. Step 5: Solve for x
    x = 11,776,793.00/3,463.78
  6. Step 6: Final answer
    x = 3,399.98

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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.