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Finding the Fourth Proportional to 4,562.28, 6,831.18 and 3,172.68

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Solution

The fourth proportional to 4,562.28, 6,831.18 and 3,172.68 is: 4,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.28 : 6,831.18 = 3,172.68 : x
  2. Step 2: Convert to fraction form
    4,562.28/6,831.18 = 3,172.68/x
  3. Step 3: Cross multiply
    4,562.28x = 6,831.18 × 3,172.68
  4. Step 4: Simplify right side
    4,562.28x = 21,673,148.16
  5. Step 5: Solve for x
    x = 21,673,148.16/4,562.28
  6. Step 6: Final answer
    x = 4,750.51

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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.