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Finding the Fourth Proportional to 4,296.46, 6,436.15 and 2,831.17

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Solution

The fourth proportional to 4,296.46, 6,436.15 and 2,831.17 is: 4,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.46 : 6,436.15 = 2,831.17 : x
  2. Step 2: Convert to fraction form
    4,296.46/6,436.15 = 2,831.17/x
  3. Step 3: Cross multiply
    4,296.46x = 6,436.15 × 2,831.17
  4. Step 4: Simplify right side
    4,296.46x = 18,221,834.80
  5. Step 5: Solve for x
    x = 18,221,834.80/4,296.46
  6. Step 6: Final answer
    x = 4,241.13

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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.