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Finding the Fourth Proportional to 3,598, 4,965.24 and 2,026.48

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Solution

The fourth proportional to 3,598, 4,965.24 and 2,026.48 is: 2,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598 : 4,965.24 = 2,026.48 : x
  2. Step 2: Convert to fraction form
    3,598/4,965.24 = 2,026.48/x
  3. Step 3: Cross multiply
    3,598x = 4,965.24 × 2,026.48
  4. Step 4: Simplify right side
    3,598x = 10,061,959.56
  5. Step 5: Solve for x
    x = 10,061,959.56/3,598
  6. Step 6: Final answer
    x = 2,796.54

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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.