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Finding the Fourth Proportional to 3,542.81, 4,889.09 and 1,971.21

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Solution

The fourth proportional to 3,542.81, 4,889.09 and 1,971.21 is: 2,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.81 : 4,889.09 = 1,971.21 : x
  2. Step 2: Convert to fraction form
    3,542.81/4,889.09 = 1,971.21/x
  3. Step 3: Cross multiply
    3,542.81x = 4,889.09 × 1,971.21
  4. Step 4: Simplify right side
    3,542.81x = 9,637,413.24
  5. Step 5: Solve for x
    x = 9,637,413.24/3,542.81
  6. Step 6: Final answer
    x = 2,720.27

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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.