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Finding the Fourth Proportional to 3,797.50, 5,697.06 and 1,165

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Solution

The fourth proportional to 3,797.50, 5,697.06 and 1,165 is: 1,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.50 : 5,697.06 = 1,165 : x
  2. Step 2: Convert to fraction form
    3,797.50/5,697.06 = 1,165/x
  3. Step 3: Cross multiply
    3,797.50x = 5,697.06 × 1,165
  4. Step 4: Simplify right side
    3,797.50x = 6,637,074.90
  5. Step 5: Solve for x
    x = 6,637,074.90/3,797.50
  6. Step 6: Final answer
    x = 1,747.75

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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.