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Finding the Fourth Proportional to 4,932.78, 6,807.18 and 3,164.70

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Solution

The fourth proportional to 4,932.78, 6,807.18 and 3,164.70 is: 4,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.78 : 6,807.18 = 3,164.70 : x
  2. Step 2: Convert to fraction form
    4,932.78/6,807.18 = 3,164.70/x
  3. Step 3: Cross multiply
    4,932.78x = 6,807.18 × 3,164.70
  4. Step 4: Simplify right side
    4,932.78x = 21,542,682.55
  5. Step 5: Solve for x
    x = 21,542,682.55/4,932.78
  6. Step 6: Final answer
    x = 4,367.25

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