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Finding the Fourth Proportional to 3,893.70, 5,810.59 and 3,478.48

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Solution

The fourth proportional to 3,893.70, 5,810.59 and 3,478.48 is: 5,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.70 : 5,810.59 = 3,478.48 : x
  2. Step 2: Convert to fraction form
    3,893.70/5,810.59 = 3,478.48/x
  3. Step 3: Cross multiply
    3,893.70x = 5,810.59 × 3,478.48
  4. Step 4: Simplify right side
    3,893.70x = 20,212,021.10
  5. Step 5: Solve for x
    x = 20,212,021.10/3,893.70
  6. Step 6: Final answer
    x = 5,190.95

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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.