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Finding the Fourth Proportional to 6,539.26, 9,024.16 and 3,745.30

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Solution

The fourth proportional to 6,539.26, 9,024.16 and 3,745.30 is: 5,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.26 : 9,024.16 = 3,745.30 : x
  2. Step 2: Convert to fraction form
    6,539.26/9,024.16 = 3,745.30/x
  3. Step 3: Cross multiply
    6,539.26x = 9,024.16 × 3,745.30
  4. Step 4: Simplify right side
    6,539.26x = 33,798,186.45
  5. Step 5: Solve for x
    x = 33,798,186.45/6,539.26
  6. Step 6: Final answer
    x = 5,168.50

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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.