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Finding the Fourth Proportional to 5,222.84, 7,835.34 and 1,760

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Solution

The fourth proportional to 5,222.84, 7,835.34 and 1,760 is: 2,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.84 : 7,835.34 = 1,760 : x
  2. Step 2: Convert to fraction form
    5,222.84/7,835.34 = 1,760/x
  3. Step 3: Cross multiply
    5,222.84x = 7,835.34 × 1,760
  4. Step 4: Simplify right side
    5,222.84x = 13,790,198.40
  5. Step 5: Solve for x
    x = 13,790,198.40/5,222.84
  6. Step 6: Final answer
    x = 2,640.36

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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.