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Finding the Fourth Proportional to 5,822.69, 8,035.45 and 3,170.24

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Solution

The fourth proportional to 5,822.69, 8,035.45 and 3,170.24 is: 4,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.69 : 8,035.45 = 3,170.24 : x
  2. Step 2: Convert to fraction form
    5,822.69/8,035.45 = 3,170.24/x
  3. Step 3: Cross multiply
    5,822.69x = 8,035.45 × 3,170.24
  4. Step 4: Simplify right side
    5,822.69x = 25,474,319.94
  5. Step 5: Solve for x
    x = 25,474,319.94/5,822.69
  6. Step 6: Final answer
    x = 4,375.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.