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Finding the Fourth Proportional to 6,022.71, 9,032.67 and 1,639.29

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Solution

The fourth proportional to 6,022.71, 9,032.67 and 1,639.29 is: 2,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.71 : 9,032.67 = 1,639.29 : x
  2. Step 2: Convert to fraction form
    6,022.71/9,032.67 = 1,639.29/x
  3. Step 3: Cross multiply
    6,022.71x = 9,032.67 × 1,639.29
  4. Step 4: Simplify right side
    6,022.71x = 14,807,165.60
  5. Step 5: Solve for x
    x = 14,807,165.60/6,022.71
  6. Step 6: Final answer
    x = 2,458.56

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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.