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Finding the Fourth Proportional to 5,708.09, 7,876.50 and 3,190.21

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Solution

The fourth proportional to 5,708.09, 7,876.50 and 3,190.21 is: 4,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.09 : 7,876.50 = 3,190.21 : x
  2. Step 2: Convert to fraction form
    5,708.09/7,876.50 = 3,190.21/x
  3. Step 3: Cross multiply
    5,708.09x = 7,876.50 × 3,190.21
  4. Step 4: Simplify right side
    5,708.09x = 25,127,649.68
  5. Step 5: Solve for x
    x = 25,127,649.68/5,708.09
  6. Step 6: Final answer
    x = 4,402.11

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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.