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Finding the Fourth Proportional to 3,885, 5,825.74 and 1,111

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Solution

The fourth proportional to 3,885, 5,825.74 and 1,111 is: 1,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885 : 5,825.74 = 1,111 : x
  2. Step 2: Convert to fraction form
    3,885/5,825.74 = 1,111/x
  3. Step 3: Cross multiply
    3,885x = 5,825.74 × 1,111
  4. Step 4: Simplify right side
    3,885x = 6,472,397.14
  5. Step 5: Solve for x
    x = 6,472,397.14/3,885
  6. Step 6: Final answer
    x = 1,666.00

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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.