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Finding the Fourth Proportional to 6,071.87, 8,379.21 and 3,419.33

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Solution

The fourth proportional to 6,071.87, 8,379.21 and 3,419.33 is: 4,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.87 : 8,379.21 = 3,419.33 : x
  2. Step 2: Convert to fraction form
    6,071.87/8,379.21 = 3,419.33/x
  3. Step 3: Cross multiply
    6,071.87x = 8,379.21 × 3,419.33
  4. Step 4: Simplify right side
    6,071.87x = 28,651,242.23
  5. Step 5: Solve for x
    x = 28,651,242.23/6,071.87
  6. Step 6: Final answer
    x = 4,718.69

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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.