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Finding the Fourth Proportional to 3,920.70, 5,877.97 and 2,684.37

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Solution

The fourth proportional to 3,920.70, 5,877.97 and 2,684.37 is: 4,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.70 : 5,877.97 = 2,684.37 : x
  2. Step 2: Convert to fraction form
    3,920.70/5,877.97 = 2,684.37/x
  3. Step 3: Cross multiply
    3,920.70x = 5,877.97 × 2,684.37
  4. Step 4: Simplify right side
    3,920.70x = 15,778,646.33
  5. Step 5: Solve for x
    x = 15,778,646.33/3,920.70
  6. Step 6: Final answer
    x = 4,024.45

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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.