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Finding the Fourth Proportional to 6,292.45, 8,683.50 and 3,639.80

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Solution

The fourth proportional to 6,292.45, 8,683.50 and 3,639.80 is: 5,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.45 : 8,683.50 = 3,639.80 : x
  2. Step 2: Convert to fraction form
    6,292.45/8,683.50 = 3,639.80/x
  3. Step 3: Cross multiply
    6,292.45x = 8,683.50 × 3,639.80
  4. Step 4: Simplify right side
    6,292.45x = 31,606,238.66
  5. Step 5: Solve for x
    x = 31,606,238.66/6,292.45
  6. Step 6: Final answer
    x = 5,022.88

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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.