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Finding the Fourth Proportional to 6,071.98, 8,379.25 and 3,419.42

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Solution

The fourth proportional to 6,071.98, 8,379.25 and 3,419.42 is: 4,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.98 : 8,379.25 = 3,419.42 : x
  2. Step 2: Convert to fraction form
    6,071.98/8,379.25 = 3,419.42/x
  3. Step 3: Cross multiply
    6,071.98x = 8,379.25 × 3,419.42
  4. Step 4: Simplify right side
    6,071.98x = 28,652,175.04
  5. Step 5: Solve for x
    x = 28,652,175.04/6,071.98
  6. Step 6: Final answer
    x = 4,718.75

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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.