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Finding the Fourth Proportional to 3,858.91, 5,754.64 and 3,433.66

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Solution

The fourth proportional to 3,858.91, 5,754.64 and 3,433.66 is: 5,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.91 : 5,754.64 = 3,433.66 : x
  2. Step 2: Convert to fraction form
    3,858.91/5,754.64 = 3,433.66/x
  3. Step 3: Cross multiply
    3,858.91x = 5,754.64 × 3,433.66
  4. Step 4: Simplify right side
    3,858.91x = 19,759,477.18
  5. Step 5: Solve for x
    x = 19,759,477.18/3,858.91
  6. Step 6: Final answer
    x = 5,120.48

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Why These Related Problems?

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