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Finding the Fourth Proportional to 3,799.09, 5,699.85 and 2,066.50

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Solution

The fourth proportional to 3,799.09, 5,699.85 and 2,066.50 is: 3,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.09 : 5,699.85 = 2,066.50 : x
  2. Step 2: Convert to fraction form
    3,799.09/5,699.85 = 2,066.50/x
  3. Step 3: Cross multiply
    3,799.09x = 5,699.85 × 2,066.50
  4. Step 4: Simplify right side
    3,799.09x = 11,778,740.03
  5. Step 5: Solve for x
    x = 11,778,740.03/3,799.09
  6. Step 6: Final answer
    x = 3,100.41

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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.