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Finding the Fourth Proportional to 4,572.48, 6,857.46 and 2,231.22

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Solution

The fourth proportional to 4,572.48, 6,857.46 and 2,231.22 is: 3,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.48 : 6,857.46 = 2,231.22 : x
  2. Step 2: Convert to fraction form
    4,572.48/6,857.46 = 2,231.22/x
  3. Step 3: Cross multiply
    4,572.48x = 6,857.46 × 2,231.22
  4. Step 4: Simplify right side
    4,572.48x = 15,300,501.90
  5. Step 5: Solve for x
    x = 15,300,501.90/4,572.48
  6. Step 6: Final answer
    x = 3,346.22

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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.