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Finding the Fourth Proportional to 4,932.65, 6,807.19 and 2,694.50

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Solution

The fourth proportional to 4,932.65, 6,807.19 and 2,694.50 is: 3,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.65 : 6,807.19 = 2,694.50 : x
  2. Step 2: Convert to fraction form
    4,932.65/6,807.19 = 2,694.50/x
  3. Step 3: Cross multiply
    4,932.65x = 6,807.19 × 2,694.50
  4. Step 4: Simplify right side
    4,932.65x = 18,341,973.46
  5. Step 5: Solve for x
    x = 18,341,973.46/4,932.65
  6. Step 6: Final answer
    x = 3,718.48

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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.