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Finding the Fourth Proportional to 6,230.21, 8,597.14 and 3,577.46

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Solution

The fourth proportional to 6,230.21, 8,597.14 and 3,577.46 is: 4,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.21 : 8,597.14 = 3,577.46 : x
  2. Step 2: Convert to fraction form
    6,230.21/8,597.14 = 3,577.46/x
  3. Step 3: Cross multiply
    6,230.21x = 8,597.14 × 3,577.46
  4. Step 4: Simplify right side
    6,230.21x = 30,755,872.54
  5. Step 5: Solve for x
    x = 30,755,872.54/6,230.21
  6. Step 6: Final answer
    x = 4,936.57

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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.