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Finding the Fourth Proportional to 3,458.21, 5,205.77 and 3,101

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Solution

The fourth proportional to 3,458.21, 5,205.77 and 3,101 is: 4,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.21 : 5,205.77 = 3,101 : x
  2. Step 2: Convert to fraction form
    3,458.21/5,205.77 = 3,101/x
  3. Step 3: Cross multiply
    3,458.21x = 5,205.77 × 3,101
  4. Step 4: Simplify right side
    3,458.21x = 16,143,092.77
  5. Step 5: Solve for x
    x = 16,143,092.77/3,458.21
  6. Step 6: Final answer
    x = 4,668.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.