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Finding the Fourth Proportional to 3,465.67, 5,200.13 and 2,006.05

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Solution

The fourth proportional to 3,465.67, 5,200.13 and 2,006.05 is: 3,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.67 : 5,200.13 = 2,006.05 : x
  2. Step 2: Convert to fraction form
    3,465.67/5,200.13 = 2,006.05/x
  3. Step 3: Cross multiply
    3,465.67x = 5,200.13 × 2,006.05
  4. Step 4: Simplify right side
    3,465.67x = 10,431,720.79
  5. Step 5: Solve for x
    x = 10,431,720.79/3,465.67
  6. Step 6: Final answer
    x = 3,010.02

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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.