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Finding the Fourth Proportional to 4,822.36, 7,223.46 and 4,238.08

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Solution

The fourth proportional to 4,822.36, 7,223.46 and 4,238.08 is: 6,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.36 : 7,223.46 = 4,238.08 : x
  2. Step 2: Convert to fraction form
    4,822.36/7,223.46 = 4,238.08/x
  3. Step 3: Cross multiply
    4,822.36x = 7,223.46 × 4,238.08
  4. Step 4: Simplify right side
    4,822.36x = 30,613,601.36
  5. Step 5: Solve for x
    x = 30,613,601.36/4,822.36
  6. Step 6: Final answer
    x = 6,348.26

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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.