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Finding the Fourth Proportional to 3,488.41, 5,230.96 and 2,028.01

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Solution

The fourth proportional to 3,488.41, 5,230.96 and 2,028.01 is: 3,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.41 : 5,230.96 = 2,028.01 : x
  2. Step 2: Convert to fraction form
    3,488.41/5,230.96 = 2,028.01/x
  3. Step 3: Cross multiply
    3,488.41x = 5,230.96 × 2,028.01
  4. Step 4: Simplify right side
    3,488.41x = 10,608,439.19
  5. Step 5: Solve for x
    x = 10,608,439.19/3,488.41
  6. Step 6: Final answer
    x = 3,041.05

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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.