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Finding the Fourth Proportional to 3,732.84, 5,599.74 and 1,999.08

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Solution

The fourth proportional to 3,732.84, 5,599.74 and 1,999.08 is: 2,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.84 : 5,599.74 = 1,999.08 : x
  2. Step 2: Convert to fraction form
    3,732.84/5,599.74 = 1,999.08/x
  3. Step 3: Cross multiply
    3,732.84x = 5,599.74 × 1,999.08
  4. Step 4: Simplify right side
    3,732.84x = 11,194,328.24
  5. Step 5: Solve for x
    x = 11,194,328.24/3,732.84
  6. Step 6: Final answer
    x = 2,998.88

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