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Finding the Fourth Proportional to 3,428.18, 5,142.30 and 831.14

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Solution

The fourth proportional to 3,428.18, 5,142.30 and 831.14 is: 1,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.18 : 5,142.30 = 831.14 : x
  2. Step 2: Convert to fraction form
    3,428.18/5,142.30 = 831.14/x
  3. Step 3: Cross multiply
    3,428.18x = 5,142.30 × 831.14
  4. Step 4: Simplify right side
    3,428.18x = 4,273,971.22
  5. Step 5: Solve for x
    x = 4,273,971.22/3,428.18
  6. Step 6: Final answer
    x = 1,246.72

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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.