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Finding the Fourth Proportional to 4,092.87, 6,139.50 and 1,629.66

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Solution

The fourth proportional to 4,092.87, 6,139.50 and 1,629.66 is: 2,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.87 : 6,139.50 = 1,629.66 : x
  2. Step 2: Convert to fraction form
    4,092.87/6,139.50 = 1,629.66/x
  3. Step 3: Cross multiply
    4,092.87x = 6,139.50 × 1,629.66
  4. Step 4: Simplify right side
    4,092.87x = 10,005,297.57
  5. Step 5: Solve for x
    x = 10,005,297.57/4,092.87
  6. Step 6: Final answer
    x = 2,444.57

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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.