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Finding the Fourth Proportional to 3,485.69, 5,221.70 and 2,021.77

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Solution

The fourth proportional to 3,485.69, 5,221.70 and 2,021.77 is: 3,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.69 : 5,221.70 = 2,021.77 : x
  2. Step 2: Convert to fraction form
    3,485.69/5,221.70 = 2,021.77/x
  3. Step 3: Cross multiply
    3,485.69x = 5,221.70 × 2,021.77
  4. Step 4: Simplify right side
    3,485.69x = 10,557,040.19
  5. Step 5: Solve for x
    x = 10,557,040.19/3,485.69
  6. Step 6: Final answer
    x = 3,028.68

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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.