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Finding the Fourth Proportional to 3,829.39, 5,739.18 and 3,333.77

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Solution

The fourth proportional to 3,829.39, 5,739.18 and 3,333.77 is: 4,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.39 : 5,739.18 = 3,333.77 : x
  2. Step 2: Convert to fraction form
    3,829.39/5,739.18 = 3,333.77/x
  3. Step 3: Cross multiply
    3,829.39x = 5,739.18 × 3,333.77
  4. Step 4: Simplify right side
    3,829.39x = 19,133,106.11
  5. Step 5: Solve for x
    x = 19,133,106.11/3,829.39
  6. Step 6: Final answer
    x = 4,996.39

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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.