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Finding the Fourth Proportional to 6,071.92, 8,379.04 and 3,419.88

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Solution

The fourth proportional to 6,071.92, 8,379.04 and 3,419.88 is: 4,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.92 : 8,379.04 = 3,419.88 : x
  2. Step 2: Convert to fraction form
    6,071.92/8,379.04 = 3,419.88/x
  3. Step 3: Cross multiply
    6,071.92x = 8,379.04 × 3,419.88
  4. Step 4: Simplify right side
    6,071.92x = 28,655,311.32
  5. Step 5: Solve for x
    x = 28,655,311.32/6,071.92
  6. Step 6: Final answer
    x = 4,719.32

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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.