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Finding the Fourth Proportional to 4,650.44, 6,416.01 and 2,660.27

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Solution

The fourth proportional to 4,650.44, 6,416.01 and 2,660.27 is: 3,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.44 : 6,416.01 = 2,660.27 : x
  2. Step 2: Convert to fraction form
    4,650.44/6,416.01 = 2,660.27/x
  3. Step 3: Cross multiply
    4,650.44x = 6,416.01 × 2,660.27
  4. Step 4: Simplify right side
    4,650.44x = 17,068,286.84
  5. Step 5: Solve for x
    x = 17,068,286.84/4,650.44
  6. Step 6: Final answer
    x = 3,670.26

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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.