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Finding the Fourth Proportional to 3,223.44, 4,834.08 and 1,275.12

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Solution

The fourth proportional to 3,223.44, 4,834.08 and 1,275.12 is: 1,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.44 : 4,834.08 = 1,275.12 : x
  2. Step 2: Convert to fraction form
    3,223.44/4,834.08 = 1,275.12/x
  3. Step 3: Cross multiply
    3,223.44x = 4,834.08 × 1,275.12
  4. Step 4: Simplify right side
    3,223.44x = 6,164,032.09
  5. Step 5: Solve for x
    x = 6,164,032.09/3,223.44
  6. Step 6: Final answer
    x = 1,912.25

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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.