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Finding the Fourth Proportional to 3,887.67, 5,831.49 and 3,352.53

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Solution

The fourth proportional to 3,887.67, 5,831.49 and 3,352.53 is: 5,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.67 : 5,831.49 = 3,352.53 : x
  2. Step 2: Convert to fraction form
    3,887.67/5,831.49 = 3,352.53/x
  3. Step 3: Cross multiply
    3,887.67x = 5,831.49 × 3,352.53
  4. Step 4: Simplify right side
    3,887.67x = 19,550,245.17
  5. Step 5: Solve for x
    x = 19,550,245.17/3,887.67
  6. Step 6: Final answer
    x = 5,028.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.