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Finding the Fourth Proportional to 5,570.50, 7,687.29 and 3,086.50

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Solution

The fourth proportional to 5,570.50, 7,687.29 and 3,086.50 is: 4,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.50 : 7,687.29 = 3,086.50 : x
  2. Step 2: Convert to fraction form
    5,570.50/7,687.29 = 3,086.50/x
  3. Step 3: Cross multiply
    5,570.50x = 7,687.29 × 3,086.50
  4. Step 4: Simplify right side
    5,570.50x = 23,726,820.59
  5. Step 5: Solve for x
    x = 23,726,820.59/5,570.50
  6. Step 6: Final answer
    x = 4,259.37

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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.