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Finding the Fourth Proportional to 3,731.84, 5,598.24 and 1,998.08

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Solution

The fourth proportional to 3,731.84, 5,598.24 and 1,998.08 is: 2,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.84 : 5,598.24 = 1,998.08 : x
  2. Step 2: Convert to fraction form
    3,731.84/5,598.24 = 1,998.08/x
  3. Step 3: Cross multiply
    3,731.84x = 5,598.24 × 1,998.08
  4. Step 4: Simplify right side
    3,731.84x = 11,185,731.38
  5. Step 5: Solve for x
    x = 11,185,731.38/3,731.84
  6. Step 6: Final answer
    x = 2,997.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.