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Finding the Fourth Proportional to 3,428.58, 5,142.87 and 831.52

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Solution

The fourth proportional to 3,428.58, 5,142.87 and 831.52 is: 1,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.58 : 5,142.87 = 831.52 : x
  2. Step 2: Convert to fraction form
    3,428.58/5,142.87 = 831.52/x
  3. Step 3: Cross multiply
    3,428.58x = 5,142.87 × 831.52
  4. Step 4: Simplify right side
    3,428.58x = 4,276,374.42
  5. Step 5: Solve for x
    x = 4,276,374.42/3,428.58
  6. Step 6: Final answer
    x = 1,247.27

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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.