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Finding the Fourth Proportional to 3,224.81, 4,798.59 and 3,213.87

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Solution

The fourth proportional to 3,224.81, 4,798.59 and 3,213.87 is: 4,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.81 : 4,798.59 = 3,213.87 : x
  2. Step 2: Convert to fraction form
    3,224.81/4,798.59 = 3,213.87/x
  3. Step 3: Cross multiply
    3,224.81x = 4,798.59 × 3,213.87
  4. Step 4: Simplify right side
    3,224.81x = 15,422,028.37
  5. Step 5: Solve for x
    x = 15,422,028.37/3,224.81
  6. Step 6: Final answer
    x = 4,782.31

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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.