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Finding the Fourth Proportional to 6,517.71, 8,993.58 and 3,685.47

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Solution

The fourth proportional to 6,517.71, 8,993.58 and 3,685.47 is: 5,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.71 : 8,993.58 = 3,685.47 : x
  2. Step 2: Convert to fraction form
    6,517.71/8,993.58 = 3,685.47/x
  3. Step 3: Cross multiply
    6,517.71x = 8,993.58 × 3,685.47
  4. Step 4: Simplify right side
    6,517.71x = 33,145,569.28
  5. Step 5: Solve for x
    x = 33,145,569.28/6,517.71
  6. Step 6: Final answer
    x = 5,085.46

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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.