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Finding the Fourth Proportional to 5,222.76, 7,834.33 and 1,712.85

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Solution

The fourth proportional to 5,222.76, 7,834.33 and 1,712.85 is: 2,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.76 : 7,834.33 = 1,712.85 : x
  2. Step 2: Convert to fraction form
    5,222.76/7,834.33 = 1,712.85/x
  3. Step 3: Cross multiply
    5,222.76x = 7,834.33 × 1,712.85
  4. Step 4: Simplify right side
    5,222.76x = 13,419,027.86
  5. Step 5: Solve for x
    x = 13,419,027.86/5,222.76
  6. Step 6: Final answer
    x = 2,569.34

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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.