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Finding the Fourth Proportional to 3,812.28, 5,667 and 3,700.17

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Solution

The fourth proportional to 3,812.28, 5,667 and 3,700.17 is: 5,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.28 : 5,667 = 3,700.17 : x
  2. Step 2: Convert to fraction form
    3,812.28/5,667 = 3,700.17/x
  3. Step 3: Cross multiply
    3,812.28x = 5,667 × 3,700.17
  4. Step 4: Simplify right side
    3,812.28x = 20,968,863.39
  5. Step 5: Solve for x
    x = 20,968,863.39/3,812.28
  6. Step 6: Final answer
    x = 5,500.35

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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.