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Finding the Fourth Proportional to 3,582.98, 4,944.35 and 1,989.73

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Solution

The fourth proportional to 3,582.98, 4,944.35 and 1,989.73 is: 2,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.98 : 4,944.35 = 1,989.73 : x
  2. Step 2: Convert to fraction form
    3,582.98/4,944.35 = 1,989.73/x
  3. Step 3: Cross multiply
    3,582.98x = 4,944.35 × 1,989.73
  4. Step 4: Simplify right side
    3,582.98x = 9,837,918.20
  5. Step 5: Solve for x
    x = 9,837,918.20/3,582.98
  6. Step 6: Final answer
    x = 2,745.74

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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.