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Finding the Fourth Proportional to 3,697.76, 5,102.84 and 2,019.09

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Solution

The fourth proportional to 3,697.76, 5,102.84 and 2,019.09 is: 2,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.76 : 5,102.84 = 2,019.09 : x
  2. Step 2: Convert to fraction form
    3,697.76/5,102.84 = 2,019.09/x
  3. Step 3: Cross multiply
    3,697.76x = 5,102.84 × 2,019.09
  4. Step 4: Simplify right side
    3,697.76x = 10,303,083.12
  5. Step 5: Solve for x
    x = 10,303,083.12/3,697.76
  6. Step 6: Final answer
    x = 2,786.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.