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Finding the Fourth Proportional to 6,099.82, 8,419.53 and 3,548.17

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Solution

The fourth proportional to 6,099.82, 8,419.53 and 3,548.17 is: 4,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.82 : 8,419.53 = 3,548.17 : x
  2. Step 2: Convert to fraction form
    6,099.82/8,419.53 = 3,548.17/x
  3. Step 3: Cross multiply
    6,099.82x = 8,419.53 × 3,548.17
  4. Step 4: Simplify right side
    6,099.82x = 29,873,942.60
  5. Step 5: Solve for x
    x = 29,873,942.60/6,099.82
  6. Step 6: Final answer
    x = 4,897.51

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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.