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Finding the Fourth Proportional to 3,989.82, 5,507.26 and 3,569.42

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Solution

The fourth proportional to 3,989.82, 5,507.26 and 3,569.42 is: 4,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.82 : 5,507.26 = 3,569.42 : x
  2. Step 2: Convert to fraction form
    3,989.82/5,507.26 = 3,569.42/x
  3. Step 3: Cross multiply
    3,989.82x = 5,507.26 × 3,569.42
  4. Step 4: Simplify right side
    3,989.82x = 19,657,723.99
  5. Step 5: Solve for x
    x = 19,657,723.99/3,989.82
  6. Step 6: Final answer
    x = 4,926.97

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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.