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Finding the Fourth Proportional to 6,022.92, 9,032.22 and 2,559

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Solution

The fourth proportional to 6,022.92, 9,032.22 and 2,559 is: 3,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.92 : 9,032.22 = 2,559 : x
  2. Step 2: Convert to fraction form
    6,022.92/9,032.22 = 2,559/x
  3. Step 3: Cross multiply
    6,022.92x = 9,032.22 × 2,559
  4. Step 4: Simplify right side
    6,022.92x = 23,113,450.98
  5. Step 5: Solve for x
    x = 23,113,450.98/6,022.92
  6. Step 6: Final answer
    x = 3,837.58

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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.