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Finding the Fourth Proportional to 5,892.34, 8,835.16 and 1,942.52

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Solution

The fourth proportional to 5,892.34, 8,835.16 and 1,942.52 is: 2,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.34 : 8,835.16 = 1,942.52 : x
  2. Step 2: Convert to fraction form
    5,892.34/8,835.16 = 1,942.52/x
  3. Step 3: Cross multiply
    5,892.34x = 8,835.16 × 1,942.52
  4. Step 4: Simplify right side
    5,892.34x = 17,162,501.95
  5. Step 5: Solve for x
    x = 17,162,501.95/5,892.34
  6. Step 6: Final answer
    x = 2,912.68

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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.