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Finding the Fourth Proportional to 3,219.21, 4,831.11 and 1,370.82

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Solution

The fourth proportional to 3,219.21, 4,831.11 and 1,370.82 is: 2,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.21 : 4,831.11 = 1,370.82 : x
  2. Step 2: Convert to fraction form
    3,219.21/4,831.11 = 1,370.82/x
  3. Step 3: Cross multiply
    3,219.21x = 4,831.11 × 1,370.82
  4. Step 4: Simplify right side
    3,219.21x = 6,622,582.21
  5. Step 5: Solve for x
    x = 6,622,582.21/3,219.21
  6. Step 6: Final answer
    x = 2,057.21

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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.