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Finding the Fourth Proportional to 6,032.68, 9,049.69 and 2,083.49

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Solution

The fourth proportional to 6,032.68, 9,049.69 and 2,083.49 is: 3,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.68 : 9,049.69 = 2,083.49 : x
  2. Step 2: Convert to fraction form
    6,032.68/9,049.69 = 2,083.49/x
  3. Step 3: Cross multiply
    6,032.68x = 9,049.69 × 2,083.49
  4. Step 4: Simplify right side
    6,032.68x = 18,854,938.62
  5. Step 5: Solve for x
    x = 18,854,938.62/6,032.68
  6. Step 6: Final answer
    x = 3,125.47

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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.