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Finding the Fourth Proportional to 4,570.34, 6,847.65 and 2,227.19

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Solution

The fourth proportional to 4,570.34, 6,847.65 and 2,227.19 is: 3,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.34 : 6,847.65 = 2,227.19 : x
  2. Step 2: Convert to fraction form
    4,570.34/6,847.65 = 2,227.19/x
  3. Step 3: Cross multiply
    4,570.34x = 6,847.65 × 2,227.19
  4. Step 4: Simplify right side
    4,570.34x = 15,250,983.37
  5. Step 5: Solve for x
    x = 15,250,983.37/4,570.34
  6. Step 6: Final answer
    x = 3,336.95

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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.