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Finding the Fourth Proportional to 5,890.95, 8,836.43 and 1,942.20

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Solution

The fourth proportional to 5,890.95, 8,836.43 and 1,942.20 is: 2,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.95 : 8,836.43 = 1,942.20 : x
  2. Step 2: Convert to fraction form
    5,890.95/8,836.43 = 1,942.20/x
  3. Step 3: Cross multiply
    5,890.95x = 8,836.43 × 1,942.20
  4. Step 4: Simplify right side
    5,890.95x = 17,162,104.64
  5. Step 5: Solve for x
    x = 17,162,104.64/5,890.95
  6. Step 6: Final answer
    x = 2,913.30

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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.