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Finding the Fourth Proportional to 6,232.96, 8,601.36 and 3,582

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Solution

The fourth proportional to 6,232.96, 8,601.36 and 3,582 is: 4,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.96 : 8,601.36 = 3,582 : x
  2. Step 2: Convert to fraction form
    6,232.96/8,601.36 = 3,582/x
  3. Step 3: Cross multiply
    6,232.96x = 8,601.36 × 3,582
  4. Step 4: Simplify right side
    6,232.96x = 30,810,071.52
  5. Step 5: Solve for x
    x = 30,810,071.52/6,232.96
  6. Step 6: Final answer
    x = 4,943.09

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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.