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Finding the Fourth Proportional to 3,212.80, 4,795.97 and 2,972.32

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Solution

The fourth proportional to 3,212.80, 4,795.97 and 2,972.32 is: 4,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.80 : 4,795.97 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    3,212.80/4,795.97 = 2,972.32/x
  3. Step 3: Cross multiply
    3,212.80x = 4,795.97 × 2,972.32
  4. Step 4: Simplify right side
    3,212.80x = 14,255,157.55
  5. Step 5: Solve for x
    x = 14,255,157.55/3,212.80
  6. Step 6: Final answer
    x = 4,436.99

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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.