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Finding the Fourth Proportional to 4,923.80, 7,393.16 and 4,238

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Solution

The fourth proportional to 4,923.80, 7,393.16 and 4,238 is: 6,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.80 : 7,393.16 = 4,238 : x
  2. Step 2: Convert to fraction form
    4,923.80/7,393.16 = 4,238/x
  3. Step 3: Cross multiply
    4,923.80x = 7,393.16 × 4,238
  4. Step 4: Simplify right side
    4,923.80x = 31,332,212.08
  5. Step 5: Solve for x
    x = 31,332,212.08/4,923.80
  6. Step 6: Final answer
    x = 6,363.42

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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.