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Finding the Fourth Proportional to 6,071.82, 8,378.82 and 3,419.61

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Solution

The fourth proportional to 6,071.82, 8,378.82 and 3,419.61 is: 4,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.82 : 8,378.82 = 3,419.61 : x
  2. Step 2: Convert to fraction form
    6,071.82/8,378.82 = 3,419.61/x
  3. Step 3: Cross multiply
    6,071.82x = 8,378.82 × 3,419.61
  4. Step 4: Simplify right side
    6,071.82x = 28,652,296.66
  5. Step 5: Solve for x
    x = 28,652,296.66/6,071.82
  6. Step 6: Final answer
    x = 4,718.90

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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.