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Finding the Fourth Proportional to 3,831.48, 5,747.58 and 1,491.66

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Solution

The fourth proportional to 3,831.48, 5,747.58 and 1,491.66 is: 2,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.48 : 5,747.58 = 1,491.66 : x
  2. Step 2: Convert to fraction form
    3,831.48/5,747.58 = 1,491.66/x
  3. Step 3: Cross multiply
    3,831.48x = 5,747.58 × 1,491.66
  4. Step 4: Simplify right side
    3,831.48x = 8,573,435.18
  5. Step 5: Solve for x
    x = 8,573,435.18/3,831.48
  6. Step 6: Final answer
    x = 2,237.63

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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.