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Finding the Fourth Proportional to 6,189.72, 8,539.74 and 3,535.26

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Solution

The fourth proportional to 6,189.72, 8,539.74 and 3,535.26 is: 4,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.72 : 8,539.74 = 3,535.26 : x
  2. Step 2: Convert to fraction form
    6,189.72/8,539.74 = 3,535.26/x
  3. Step 3: Cross multiply
    6,189.72x = 8,539.74 × 3,535.26
  4. Step 4: Simplify right side
    6,189.72x = 30,190,201.23
  5. Step 5: Solve for x
    x = 30,190,201.23/6,189.72
  6. Step 6: Final answer
    x = 4,877.47

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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.