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Finding the Fourth Proportional to 4,510.57, 6,222.41 and 2,831.14

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Solution

The fourth proportional to 4,510.57, 6,222.41 and 2,831.14 is: 3,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.57 : 6,222.41 = 2,831.14 : x
  2. Step 2: Convert to fraction form
    4,510.57/6,222.41 = 2,831.14/x
  3. Step 3: Cross multiply
    4,510.57x = 6,222.41 × 2,831.14
  4. Step 4: Simplify right side
    4,510.57x = 17,616,499.69
  5. Step 5: Solve for x
    x = 17,616,499.69/4,510.57
  6. Step 6: Final answer
    x = 3,905.61

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Why These Related Problems?

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