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Finding the Fourth Proportional to 4,626.72, 6,378.08 and 3,682.89

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Solution

The fourth proportional to 4,626.72, 6,378.08 and 3,682.89 is: 5,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.72 : 6,378.08 = 3,682.89 : x
  2. Step 2: Convert to fraction form
    4,626.72/6,378.08 = 3,682.89/x
  3. Step 3: Cross multiply
    4,626.72x = 6,378.08 × 3,682.89
  4. Step 4: Simplify right side
    4,626.72x = 23,489,748.64
  5. Step 5: Solve for x
    x = 23,489,748.64/4,626.72
  6. Step 6: Final answer
    x = 5,076.98

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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.