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Finding the Fourth Proportional to 4,932.32, 6,807.24 and 2,836.44

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Solution

The fourth proportional to 4,932.32, 6,807.24 and 2,836.44 is: 3,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.32 : 6,807.24 = 2,836.44 : x
  2. Step 2: Convert to fraction form
    4,932.32/6,807.24 = 2,836.44/x
  3. Step 3: Cross multiply
    4,932.32x = 6,807.24 × 2,836.44
  4. Step 4: Simplify right side
    4,932.32x = 19,308,327.83
  5. Step 5: Solve for x
    x = 19,308,327.83/4,932.32
  6. Step 6: Final answer
    x = 3,914.65

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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.