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Finding the Fourth Proportional to 5,435.82, 7,500.24 and 4,092.84

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Solution

The fourth proportional to 5,435.82, 7,500.24 and 4,092.84 is: 5,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.82 : 7,500.24 = 4,092.84 : x
  2. Step 2: Convert to fraction form
    5,435.82/7,500.24 = 4,092.84/x
  3. Step 3: Cross multiply
    5,435.82x = 7,500.24 × 4,092.84
  4. Step 4: Simplify right side
    5,435.82x = 30,697,282.28
  5. Step 5: Solve for x
    x = 30,697,282.28/5,435.82
  6. Step 6: Final answer
    x = 5,647.22

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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.