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Finding the Fourth Proportional to 3,478.90, 5,205.54 and 2,093.08

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Solution

The fourth proportional to 3,478.90, 5,205.54 and 2,093.08 is: 3,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.90 : 5,205.54 = 2,093.08 : x
  2. Step 2: Convert to fraction form
    3,478.90/5,205.54 = 2,093.08/x
  3. Step 3: Cross multiply
    3,478.90x = 5,205.54 × 2,093.08
  4. Step 4: Simplify right side
    3,478.90x = 10,895,611.66
  5. Step 5: Solve for x
    x = 10,895,611.66/3,478.90
  6. Step 6: Final answer
    x = 3,131.91

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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.