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Finding the Fourth Proportional to 4,693.25, 7,034.49 and 2,224.56

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Solution

The fourth proportional to 4,693.25, 7,034.49 and 2,224.56 is: 3,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.25 : 7,034.49 = 2,224.56 : x
  2. Step 2: Convert to fraction form
    4,693.25/7,034.49 = 2,224.56/x
  3. Step 3: Cross multiply
    4,693.25x = 7,034.49 × 2,224.56
  4. Step 4: Simplify right side
    4,693.25x = 15,648,645.07
  5. Step 5: Solve for x
    x = 15,648,645.07/4,693.25
  6. Step 6: Final answer
    x = 3,334.29

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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.