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Finding the Fourth Proportional to 3,975.35, 5,933.85 and 3,682.13

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Solution

The fourth proportional to 3,975.35, 5,933.85 and 3,682.13 is: 5,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.35 : 5,933.85 = 3,682.13 : x
  2. Step 2: Convert to fraction form
    3,975.35/5,933.85 = 3,682.13/x
  3. Step 3: Cross multiply
    3,975.35x = 5,933.85 × 3,682.13
  4. Step 4: Simplify right side
    3,975.35x = 21,849,168.23
  5. Step 5: Solve for x
    x = 21,849,168.23/3,975.35
  6. Step 6: Final answer
    x = 5,496.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.