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Finding the Fourth Proportional to 3,400.98, 4,696.56 and 2,224.86

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Solution

The fourth proportional to 3,400.98, 4,696.56 and 2,224.86 is: 3,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.98 : 4,696.56 = 2,224.86 : x
  2. Step 2: Convert to fraction form
    3,400.98/4,696.56 = 2,224.86/x
  3. Step 3: Cross multiply
    3,400.98x = 4,696.56 × 2,224.86
  4. Step 4: Simplify right side
    3,400.98x = 10,449,188.48
  5. Step 5: Solve for x
    x = 10,449,188.48/3,400.98
  6. Step 6: Final answer
    x = 3,072.41

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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.