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Finding the Fourth Proportional to 3,683.52, 5,083.50 and 2,111.64

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Solution

The fourth proportional to 3,683.52, 5,083.50 and 2,111.64 is: 2,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.52 : 5,083.50 = 2,111.64 : x
  2. Step 2: Convert to fraction form
    3,683.52/5,083.50 = 2,111.64/x
  3. Step 3: Cross multiply
    3,683.52x = 5,083.50 × 2,111.64
  4. Step 4: Simplify right side
    3,683.52x = 10,734,521.94
  5. Step 5: Solve for x
    x = 10,734,521.94/3,683.52
  6. Step 6: Final answer
    x = 2,914.20

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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.