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Finding the Fourth Proportional to 3,378.42, 5,056.11 and 2,831.22

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Solution

The fourth proportional to 3,378.42, 5,056.11 and 2,831.22 is: 4,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.42 : 5,056.11 = 2,831.22 : x
  2. Step 2: Convert to fraction form
    3,378.42/5,056.11 = 2,831.22/x
  3. Step 3: Cross multiply
    3,378.42x = 5,056.11 × 2,831.22
  4. Step 4: Simplify right side
    3,378.42x = 14,314,959.75
  5. Step 5: Solve for x
    x = 14,314,959.75/3,378.42
  6. Step 6: Final answer
    x = 4,237.18

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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.