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Finding the Fourth Proportional to 4,227.48, 6,341.22 and 3,069.72

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Solution

The fourth proportional to 4,227.48, 6,341.22 and 3,069.72 is: 4,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.48 : 6,341.22 = 3,069.72 : x
  2. Step 2: Convert to fraction form
    4,227.48/6,341.22 = 3,069.72/x
  3. Step 3: Cross multiply
    4,227.48x = 6,341.22 × 3,069.72
  4. Step 4: Simplify right side
    4,227.48x = 19,465,769.86
  5. Step 5: Solve for x
    x = 19,465,769.86/4,227.48
  6. Step 6: Final answer
    x = 4,604.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.