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Finding the Fourth Proportional to 3,904.67, 5,850.63 and 3,758.87

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Solution

The fourth proportional to 3,904.67, 5,850.63 and 3,758.87 is: 5,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.67 : 5,850.63 = 3,758.87 : x
  2. Step 2: Convert to fraction form
    3,904.67/5,850.63 = 3,758.87/x
  3. Step 3: Cross multiply
    3,904.67x = 5,850.63 × 3,758.87
  4. Step 4: Simplify right side
    3,904.67x = 21,991,772.21
  5. Step 5: Solve for x
    x = 21,991,772.21/3,904.67
  6. Step 6: Final answer
    x = 5,632.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.