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Finding the Fourth Proportional to 3,797.75, 5,697.23 and 1,606.50

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Solution

The fourth proportional to 3,797.75, 5,697.23 and 1,606.50 is: 2,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.75 : 5,697.23 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    3,797.75/5,697.23 = 1,606.50/x
  3. Step 3: Cross multiply
    3,797.75x = 5,697.23 × 1,606.50
  4. Step 4: Simplify right side
    3,797.75x = 9,152,600.00
  5. Step 5: Solve for x
    x = 9,152,600.00/3,797.75
  6. Step 6: Final answer
    x = 2,410.01

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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.