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Finding the Fourth Proportional to 3,598.28, 4,965.62 and 2,026.38

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Solution

The fourth proportional to 3,598.28, 4,965.62 and 2,026.38 is: 2,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.28 : 4,965.62 = 2,026.38 : x
  2. Step 2: Convert to fraction form
    3,598.28/4,965.62 = 2,026.38/x
  3. Step 3: Cross multiply
    3,598.28x = 4,965.62 × 2,026.38
  4. Step 4: Simplify right side
    3,598.28x = 10,062,222.92
  5. Step 5: Solve for x
    x = 10,062,222.92/3,598.28
  6. Step 6: Final answer
    x = 2,796.40

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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.