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Finding the Fourth Proportional to 3,428.59, 5,142.83 and 831.51

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Solution

The fourth proportional to 3,428.59, 5,142.83 and 831.51 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.59 : 5,142.83 = 831.51 : x
  2. Step 2: Convert to fraction form
    3,428.59/5,142.83 = 831.51/x
  3. Step 3: Cross multiply
    3,428.59x = 5,142.83 × 831.51
  4. Step 4: Simplify right side
    3,428.59x = 4,276,314.57
  5. Step 5: Solve for x
    x = 4,276,314.57/3,428.59
  6. Step 6: Final answer
    x = 1,247.25

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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.