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Finding the Fourth Proportional to 6,266.88, 8,648.64 and 4,169.60

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Solution

The fourth proportional to 6,266.88, 8,648.64 and 4,169.60 is: 5,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.88 : 8,648.64 = 4,169.60 : x
  2. Step 2: Convert to fraction form
    6,266.88/8,648.64 = 4,169.60/x
  3. Step 3: Cross multiply
    6,266.88x = 8,648.64 × 4,169.60
  4. Step 4: Simplify right side
    6,266.88x = 36,061,369.34
  5. Step 5: Solve for x
    x = 36,061,369.34/6,266.88
  6. Step 6: Final answer
    x = 5,754.28

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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.