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Finding the Fourth Proportional to 3,351.75, 4,625.42 and 1,859.90

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Solution

The fourth proportional to 3,351.75, 4,625.42 and 1,859.90 is: 2,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.75 : 4,625.42 = 1,859.90 : x
  2. Step 2: Convert to fraction form
    3,351.75/4,625.42 = 1,859.90/x
  3. Step 3: Cross multiply
    3,351.75x = 4,625.42 × 1,859.90
  4. Step 4: Simplify right side
    3,351.75x = 8,602,786.23
  5. Step 5: Solve for x
    x = 8,602,786.23/3,351.75
  6. Step 6: Final answer
    x = 2,566.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.