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Finding the Fourth Proportional to 3,797.62, 5,696.82 and 1,606.56

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Solution

The fourth proportional to 3,797.62, 5,696.82 and 1,606.56 is: 2,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.62 : 5,696.82 = 1,606.56 : x
  2. Step 2: Convert to fraction form
    3,797.62/5,696.82 = 1,606.56/x
  3. Step 3: Cross multiply
    3,797.62x = 5,696.82 × 1,606.56
  4. Step 4: Simplify right side
    3,797.62x = 9,152,283.14
  5. Step 5: Solve for x
    x = 9,152,283.14/3,797.62
  6. Step 6: Final answer
    x = 2,410.00

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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.