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Finding the Fourth Proportional to 3,227.47, 4,831.18 and 2,053.47

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Solution

The fourth proportional to 3,227.47, 4,831.18 and 2,053.47 is: 3,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.47 : 4,831.18 = 2,053.47 : x
  2. Step 2: Convert to fraction form
    3,227.47/4,831.18 = 2,053.47/x
  3. Step 3: Cross multiply
    3,227.47x = 4,831.18 × 2,053.47
  4. Step 4: Simplify right side
    3,227.47x = 9,920,696.18
  5. Step 5: Solve for x
    x = 9,920,696.18/3,227.47
  6. Step 6: Final answer
    x = 3,073.83

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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.