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Finding the Fourth Proportional to 3,598.31, 4,965.77 and 2,026.46

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Solution

The fourth proportional to 3,598.31, 4,965.77 and 2,026.46 is: 2,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.31 : 4,965.77 = 2,026.46 : x
  2. Step 2: Convert to fraction form
    3,598.31/4,965.77 = 2,026.46/x
  3. Step 3: Cross multiply
    3,598.31x = 4,965.77 × 2,026.46
  4. Step 4: Simplify right side
    3,598.31x = 10,062,934.27
  5. Step 5: Solve for x
    x = 10,062,934.27/3,598.31
  6. Step 6: Final answer
    x = 2,796.57

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