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Finding the Fourth Proportional to 5,120.22, 7,064.97 and 3,230.49

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Solution

The fourth proportional to 5,120.22, 7,064.97 and 3,230.49 is: 4,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.22 : 7,064.97 = 3,230.49 : x
  2. Step 2: Convert to fraction form
    5,120.22/7,064.97 = 3,230.49/x
  3. Step 3: Cross multiply
    5,120.22x = 7,064.97 × 3,230.49
  4. Step 4: Simplify right side
    5,120.22x = 22,823,314.94
  5. Step 5: Solve for x
    x = 22,823,314.94/5,120.22
  6. Step 6: Final answer
    x = 4,457.49

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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.