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Finding the Fourth Proportional to 3,598.56, 4,965.84 and 2,027.16

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Solution

The fourth proportional to 3,598.56, 4,965.84 and 2,027.16 is: 2,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.56 : 4,965.84 = 2,027.16 : x
  2. Step 2: Convert to fraction form
    3,598.56/4,965.84 = 2,027.16/x
  3. Step 3: Cross multiply
    3,598.56x = 4,965.84 × 2,027.16
  4. Step 4: Simplify right side
    3,598.56x = 10,066,552.21
  5. Step 5: Solve for x
    x = 10,066,552.21/3,598.56
  6. Step 6: Final answer
    x = 2,797.38

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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.