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Finding the Fourth Proportional to 6,099.42, 8,417.79 and 3,743.10

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Solution

The fourth proportional to 6,099.42, 8,417.79 and 3,743.10 is: 5,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.42 : 8,417.79 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    6,099.42/8,417.79 = 3,743.10/x
  3. Step 3: Cross multiply
    6,099.42x = 8,417.79 × 3,743.10
  4. Step 4: Simplify right side
    6,099.42x = 31,508,629.75
  5. Step 5: Solve for x
    x = 31,508,629.75/6,099.42
  6. Step 6: Final answer
    x = 5,165.84

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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.