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Finding the Fourth Proportional to 3,739.50, 5,160.51 and 2,083.50

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Solution

The fourth proportional to 3,739.50, 5,160.51 and 2,083.50 is: 2,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.50 : 5,160.51 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    3,739.50/5,160.51 = 2,083.50/x
  3. Step 3: Cross multiply
    3,739.50x = 5,160.51 × 2,083.50
  4. Step 4: Simplify right side
    3,739.50x = 10,751,922.59
  5. Step 5: Solve for x
    x = 10,751,922.59/3,739.50
  6. Step 6: Final answer
    x = 2,875.23

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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.