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Finding the Fourth Proportional to 4,574.81, 6,857.27 and 2,229.64

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Solution

The fourth proportional to 4,574.81, 6,857.27 and 2,229.64 is: 3,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.81 : 6,857.27 = 2,229.64 : x
  2. Step 2: Convert to fraction form
    4,574.81/6,857.27 = 2,229.64/x
  3. Step 3: Cross multiply
    4,574.81x = 6,857.27 × 2,229.64
  4. Step 4: Simplify right side
    4,574.81x = 15,289,215.19
  5. Step 5: Solve for x
    x = 15,289,215.19/4,574.81
  6. Step 6: Final answer
    x = 3,342.05

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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.