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Finding the Fourth Proportional to 3,831.70, 5,286.36 and 2,506.17

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Solution

The fourth proportional to 3,831.70, 5,286.36 and 2,506.17 is: 3,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.70 : 5,286.36 = 2,506.17 : x
  2. Step 2: Convert to fraction form
    3,831.70/5,286.36 = 2,506.17/x
  3. Step 3: Cross multiply
    3,831.70x = 5,286.36 × 2,506.17
  4. Step 4: Simplify right side
    3,831.70x = 13,248,516.84
  5. Step 5: Solve for x
    x = 13,248,516.84/3,831.70
  6. Step 6: Final answer
    x = 3,457.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.