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Finding the Fourth Proportional to 3,212.22, 4,795.31 and 3,070.38

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Solution

The fourth proportional to 3,212.22, 4,795.31 and 3,070.38 is: 4,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.22 : 4,795.31 = 3,070.38 : x
  2. Step 2: Convert to fraction form
    3,212.22/4,795.31 = 3,070.38/x
  3. Step 3: Cross multiply
    3,212.22x = 4,795.31 × 3,070.38
  4. Step 4: Simplify right side
    3,212.22x = 14,723,408.57
  5. Step 5: Solve for x
    x = 14,723,408.57/3,212.22
  6. Step 6: Final answer
    x = 4,583.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.