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Finding the Fourth Proportional to 4,038, 6,057 and 1,606

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Solution

The fourth proportional to 4,038, 6,057 and 1,606 is: 2,409

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038 : 6,057 = 1,606 : x
  2. Step 2: Convert to fraction form
    4,038/6,057 = 1,606/x
  3. Step 3: Cross multiply
    4,038x = 6,057 × 1,606
  4. Step 4: Simplify right side
    4,038x = 9,727,542
  5. Step 5: Solve for x
    x = 9,727,542/4,038
  6. Step 6: Final answer
    x = 2,409

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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.