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Finding the Fourth Proportional to 3,797.65, 5,697.32 and 1,165.52

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Solution

The fourth proportional to 3,797.65, 5,697.32 and 1,165.52 is: 1,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.65 : 5,697.32 = 1,165.52 : x
  2. Step 2: Convert to fraction form
    3,797.65/5,697.32 = 1,165.52/x
  3. Step 3: Cross multiply
    3,797.65x = 5,697.32 × 1,165.52
  4. Step 4: Simplify right side
    3,797.65x = 6,640,340.41
  5. Step 5: Solve for x
    x = 6,640,340.41/3,797.65
  6. Step 6: Final answer
    x = 1,748.54

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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.