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Finding the Fourth Proportional to 3,893.85, 5,810.67 and 3,478.50

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Solution

The fourth proportional to 3,893.85, 5,810.67 and 3,478.50 is: 5,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.85 : 5,810.67 = 3,478.50 : x
  2. Step 2: Convert to fraction form
    3,893.85/5,810.67 = 3,478.50/x
  3. Step 3: Cross multiply
    3,893.85x = 5,810.67 × 3,478.50
  4. Step 4: Simplify right side
    3,893.85x = 20,212,415.60
  5. Step 5: Solve for x
    x = 20,212,415.60/3,893.85
  6. Step 6: Final answer
    x = 5,190.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.