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Finding the Fourth Proportional to 5,867.67, 8,099.97 and 4,106.19

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Solution

The fourth proportional to 5,867.67, 8,099.97 and 4,106.19 is: 5,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.67 : 8,099.97 = 4,106.19 : x
  2. Step 2: Convert to fraction form
    5,867.67/8,099.97 = 4,106.19/x
  3. Step 3: Cross multiply
    5,867.67x = 8,099.97 × 4,106.19
  4. Step 4: Simplify right side
    5,867.67x = 33,260,015.81
  5. Step 5: Solve for x
    x = 33,260,015.81/5,867.67
  6. Step 6: Final answer
    x = 5,668.35

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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.