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Finding the Fourth Proportional to 6,072.39, 8,379.63 and 3,419.76

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Solution

The fourth proportional to 6,072.39, 8,379.63 and 3,419.76 is: 4,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.39 : 8,379.63 = 3,419.76 : x
  2. Step 2: Convert to fraction form
    6,072.39/8,379.63 = 3,419.76/x
  3. Step 3: Cross multiply
    6,072.39x = 8,379.63 × 3,419.76
  4. Step 4: Simplify right side
    6,072.39x = 28,656,323.49
  5. Step 5: Solve for x
    x = 28,656,323.49/6,072.39
  6. Step 6: Final answer
    x = 4,719.12

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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.