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Finding the Fourth Proportional to 3,665.72, 5,497.42 and 1,933.40

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Solution

The fourth proportional to 3,665.72, 5,497.42 and 1,933.40 is: 2,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.72 : 5,497.42 = 1,933.40 : x
  2. Step 2: Convert to fraction form
    3,665.72/5,497.42 = 1,933.40/x
  3. Step 3: Cross multiply
    3,665.72x = 5,497.42 × 1,933.40
  4. Step 4: Simplify right side
    3,665.72x = 10,628,711.83
  5. Step 5: Solve for x
    x = 10,628,711.83/3,665.72
  6. Step 6: Final answer
    x = 2,899.49

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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.