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Finding the Fourth Proportional to 6,072.96, 8,379.76 and 3,420.20

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Solution

The fourth proportional to 6,072.96, 8,379.76 and 3,420.20 is: 4,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.96 : 8,379.76 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    6,072.96/8,379.76 = 3,420.20/x
  3. Step 3: Cross multiply
    6,072.96x = 8,379.76 × 3,420.20
  4. Step 4: Simplify right side
    6,072.96x = 28,660,455.15
  5. Step 5: Solve for x
    x = 28,660,455.15/6,072.96
  6. Step 6: Final answer
    x = 4,719.36

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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.