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Finding the Fourth Proportional to 3,683.95, 5,083.36 and 2,191.32

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Solution

The fourth proportional to 3,683.95, 5,083.36 and 2,191.32 is: 3,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.95 : 5,083.36 = 2,191.32 : x
  2. Step 2: Convert to fraction form
    3,683.95/5,083.36 = 2,191.32/x
  3. Step 3: Cross multiply
    3,683.95x = 5,083.36 × 2,191.32
  4. Step 4: Simplify right side
    3,683.95x = 11,139,268.44
  5. Step 5: Solve for x
    x = 11,139,268.44/3,683.95
  6. Step 6: Final answer
    x = 3,023.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.