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Finding the Fourth Proportional to 6,265.85, 8,644.56 and 3,748.02

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Solution

The fourth proportional to 6,265.85, 8,644.56 and 3,748.02 is: 5,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.85 : 8,644.56 = 3,748.02 : x
  2. Step 2: Convert to fraction form
    6,265.85/8,644.56 = 3,748.02/x
  3. Step 3: Cross multiply
    6,265.85x = 8,644.56 × 3,748.02
  4. Step 4: Simplify right side
    6,265.85x = 32,399,983.77
  5. Step 5: Solve for x
    x = 32,399,983.77/6,265.85
  6. Step 6: Final answer
    x = 5,170.89

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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.