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Finding the Fourth Proportional to 3,582.81, 4,944.22 and 1,989.45

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Solution

The fourth proportional to 3,582.81, 4,944.22 and 1,989.45 is: 2,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.81 : 4,944.22 = 1,989.45 : x
  2. Step 2: Convert to fraction form
    3,582.81/4,944.22 = 1,989.45/x
  3. Step 3: Cross multiply
    3,582.81x = 4,944.22 × 1,989.45
  4. Step 4: Simplify right side
    3,582.81x = 9,836,278.48
  5. Step 5: Solve for x
    x = 9,836,278.48/3,582.81
  6. Step 6: Final answer
    x = 2,745.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.