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Finding the Fourth Proportional to 5,707.97, 7,876.69 and 3,190.19

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Solution

The fourth proportional to 5,707.97, 7,876.69 and 3,190.19 is: 4,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.97 : 7,876.69 = 3,190.19 : x
  2. Step 2: Convert to fraction form
    5,707.97/7,876.69 = 3,190.19/x
  3. Step 3: Cross multiply
    5,707.97x = 7,876.69 × 3,190.19
  4. Step 4: Simplify right side
    5,707.97x = 25,128,108.26
  5. Step 5: Solve for x
    x = 25,128,108.26/5,707.97
  6. Step 6: Final answer
    x = 4,402.29

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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.