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Finding the Fourth Proportional to 6,071.96, 8,379.46 and 3,419.47

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Solution

The fourth proportional to 6,071.96, 8,379.46 and 3,419.47 is: 4,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.96 : 8,379.46 = 3,419.47 : x
  2. Step 2: Convert to fraction form
    6,071.96/8,379.46 = 3,419.47/x
  3. Step 3: Cross multiply
    6,071.96x = 8,379.46 × 3,419.47
  4. Step 4: Simplify right side
    6,071.96x = 28,653,312.09
  5. Step 5: Solve for x
    x = 28,653,312.09/6,071.96
  6. Step 6: Final answer
    x = 4,718.96

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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.