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Finding the Fourth Proportional to 3,786, 5,677.21 and 1,593.51

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Solution

The fourth proportional to 3,786, 5,677.21 and 1,593.51 is: 2,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 5,677.21 = 1,593.51 : x
  2. Step 2: Convert to fraction form
    3,786/5,677.21 = 1,593.51/x
  3. Step 3: Cross multiply
    3,786x = 5,677.21 × 1,593.51
  4. Step 4: Simplify right side
    3,786x = 9,046,690.91
  5. Step 5: Solve for x
    x = 9,046,690.91/3,786
  6. Step 6: Final answer
    x = 2,389.51

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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.