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Finding the Fourth Proportional to 3,066.56, 4,223.42 and 3,057.44

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Solution

The fourth proportional to 3,066.56, 4,223.42 and 3,057.44 is: 4,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.56 : 4,223.42 = 3,057.44 : x
  2. Step 2: Convert to fraction form
    3,066.56/4,223.42 = 3,057.44/x
  3. Step 3: Cross multiply
    3,066.56x = 4,223.42 × 3,057.44
  4. Step 4: Simplify right side
    3,066.56x = 12,912,853.24
  5. Step 5: Solve for x
    x = 12,912,853.24/3,066.56
  6. Step 6: Final answer
    x = 4,210.87

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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.