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Finding the Fourth Proportional to 3,471.01, 5,208.65 and 2,084.69

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Solution

The fourth proportional to 3,471.01, 5,208.65 and 2,084.69 is: 3,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.01 : 5,208.65 = 2,084.69 : x
  2. Step 2: Convert to fraction form
    3,471.01/5,208.65 = 2,084.69/x
  3. Step 3: Cross multiply
    3,471.01x = 5,208.65 × 2,084.69
  4. Step 4: Simplify right side
    3,471.01x = 10,858,420.57
  5. Step 5: Solve for x
    x = 10,858,420.57/3,471.01
  6. Step 6: Final answer
    x = 3,128.32

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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.