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Finding the Fourth Proportional to 3,458.70, 5,189.47 and 1,999.08

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Solution

The fourth proportional to 3,458.70, 5,189.47 and 1,999.08 is: 2,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.70 : 5,189.47 = 1,999.08 : x
  2. Step 2: Convert to fraction form
    3,458.70/5,189.47 = 1,999.08/x
  3. Step 3: Cross multiply
    3,458.70x = 5,189.47 × 1,999.08
  4. Step 4: Simplify right side
    3,458.70x = 10,374,160.69
  5. Step 5: Solve for x
    x = 10,374,160.69/3,458.70
  6. Step 6: Final answer
    x = 2,999.44

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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.