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Finding the Fourth Proportional to 5,890.65, 8,837.05 and 1,942.14

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Solution

The fourth proportional to 5,890.65, 8,837.05 and 1,942.14 is: 2,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.65 : 8,837.05 = 1,942.14 : x
  2. Step 2: Convert to fraction form
    5,890.65/8,837.05 = 1,942.14/x
  3. Step 3: Cross multiply
    5,890.65x = 8,837.05 × 1,942.14
  4. Step 4: Simplify right side
    5,890.65x = 17,162,744.10
  5. Step 5: Solve for x
    x = 17,162,744.10/5,890.65
  6. Step 6: Final answer
    x = 2,913.56

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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.