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Finding the Fourth Proportional to 6,099.71, 8,414.69 and 3,582.02

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Solution

The fourth proportional to 6,099.71, 8,414.69 and 3,582.02 is: 4,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.71 : 8,414.69 = 3,582.02 : x
  2. Step 2: Convert to fraction form
    6,099.71/8,414.69 = 3,582.02/x
  3. Step 3: Cross multiply
    6,099.71x = 8,414.69 × 3,582.02
  4. Step 4: Simplify right side
    6,099.71x = 30,141,591.00
  5. Step 5: Solve for x
    x = 30,141,591.00/6,099.71
  6. Step 6: Final answer
    x = 4,941.48

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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.