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Finding the Fourth Proportional to 6,265.85, 8,647.85 and 3,577.06

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Solution

The fourth proportional to 6,265.85, 8,647.85 and 3,577.06 is: 4,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.85 : 8,647.85 = 3,577.06 : x
  2. Step 2: Convert to fraction form
    6,265.85/8,647.85 = 3,577.06/x
  3. Step 3: Cross multiply
    6,265.85x = 8,647.85 × 3,577.06
  4. Step 4: Simplify right side
    6,265.85x = 30,933,817.20
  5. Step 5: Solve for x
    x = 30,933,817.20/6,265.85
  6. Step 6: Final answer
    x = 4,936.89

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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.