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Finding the Fourth Proportional to 3,831.74, 5,736.45 and 2,848.92

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Solution

The fourth proportional to 3,831.74, 5,736.45 and 2,848.92 is: 4,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.74 : 5,736.45 = 2,848.92 : x
  2. Step 2: Convert to fraction form
    3,831.74/5,736.45 = 2,848.92/x
  3. Step 3: Cross multiply
    3,831.74x = 5,736.45 × 2,848.92
  4. Step 4: Simplify right side
    3,831.74x = 16,342,687.13
  5. Step 5: Solve for x
    x = 16,342,687.13/3,831.74
  6. Step 6: Final answer
    x = 4,265.09

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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.