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Finding the Fourth Proportional to 5,720.09, 7,893.85 and 3,202.13

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Solution

The fourth proportional to 5,720.09, 7,893.85 and 3,202.13 is: 4,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.09 : 7,893.85 = 3,202.13 : x
  2. Step 2: Convert to fraction form
    5,720.09/7,893.85 = 3,202.13/x
  3. Step 3: Cross multiply
    5,720.09x = 7,893.85 × 3,202.13
  4. Step 4: Simplify right side
    5,720.09x = 25,277,133.90
  5. Step 5: Solve for x
    x = 25,277,133.90/5,720.09
  6. Step 6: Final answer
    x = 4,419.01

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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.