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Finding the Fourth Proportional to 4,932.78, 7,395.39 and 2,009.22

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Solution

The fourth proportional to 4,932.78, 7,395.39 and 2,009.22 is: 3,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.78 : 7,395.39 = 2,009.22 : x
  2. Step 2: Convert to fraction form
    4,932.78/7,395.39 = 2,009.22/x
  3. Step 3: Cross multiply
    4,932.78x = 7,395.39 × 2,009.22
  4. Step 4: Simplify right side
    4,932.78x = 14,858,965.50
  5. Step 5: Solve for x
    x = 14,858,965.50/4,932.78
  6. Step 6: Final answer
    x = 3,012.29

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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.