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Finding the Fourth Proportional to 3,831.74, 5,742.17 and 2,950.91

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Solution

The fourth proportional to 3,831.74, 5,742.17 and 2,950.91 is: 4,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.74 : 5,742.17 = 2,950.91 : x
  2. Step 2: Convert to fraction form
    3,831.74/5,742.17 = 2,950.91/x
  3. Step 3: Cross multiply
    3,831.74x = 5,742.17 × 2,950.91
  4. Step 4: Simplify right side
    3,831.74x = 16,944,612.12
  5. Step 5: Solve for x
    x = 16,944,612.12/3,831.74
  6. Step 6: Final answer
    x = 4,422.17

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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.