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Finding the Fourth Proportional to 4,934.22, 7,384.05 and 3,831.54

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Solution

The fourth proportional to 4,934.22, 7,384.05 and 3,831.54 is: 5,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.22 : 7,384.05 = 3,831.54 : x
  2. Step 2: Convert to fraction form
    4,934.22/7,384.05 = 3,831.54/x
  3. Step 3: Cross multiply
    4,934.22x = 7,384.05 × 3,831.54
  4. Step 4: Simplify right side
    4,934.22x = 28,292,282.94
  5. Step 5: Solve for x
    x = 28,292,282.94/4,934.22
  6. Step 6: Final answer
    x = 5,733.89

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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.