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Finding the Fourth Proportional to 4,463.71, 6,694.65 and 1,689.42

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Solution

The fourth proportional to 4,463.71, 6,694.65 and 1,689.42 is: 2,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.71 : 6,694.65 = 1,689.42 : x
  2. Step 2: Convert to fraction form
    4,463.71/6,694.65 = 1,689.42/x
  3. Step 3: Cross multiply
    4,463.71x = 6,694.65 × 1,689.42
  4. Step 4: Simplify right side
    4,463.71x = 11,310,100.71
  5. Step 5: Solve for x
    x = 11,310,100.71/4,463.71
  6. Step 6: Final answer
    x = 2,533.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.