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Finding the Fourth Proportional to 6,232.21, 8,599.97 and 3,580.47

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Solution

The fourth proportional to 6,232.21, 8,599.97 and 3,580.47 is: 4,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.21 : 8,599.97 = 3,580.47 : x
  2. Step 2: Convert to fraction form
    6,232.21/8,599.97 = 3,580.47/x
  3. Step 3: Cross multiply
    6,232.21x = 8,599.97 × 3,580.47
  4. Step 4: Simplify right side
    6,232.21x = 30,791,916.68
  5. Step 5: Solve for x
    x = 30,791,916.68/6,232.21
  6. Step 6: Final answer
    x = 4,940.77

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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.