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Finding the Fourth Proportional to 3,598.54, 4,965.87 and 2,026.42

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Solution

The fourth proportional to 3,598.54, 4,965.87 and 2,026.42 is: 2,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.54 : 4,965.87 = 2,026.42 : x
  2. Step 2: Convert to fraction form
    3,598.54/4,965.87 = 2,026.42/x
  3. Step 3: Cross multiply
    3,598.54x = 4,965.87 × 2,026.42
  4. Step 4: Simplify right side
    3,598.54x = 10,062,938.29
  5. Step 5: Solve for x
    x = 10,062,938.29/3,598.54
  6. Step 6: Final answer
    x = 2,796.39

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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.