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Finding the Fourth Proportional to 4,625.53, 6,383.46 and 2,738.19

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Solution

The fourth proportional to 4,625.53, 6,383.46 and 2,738.19 is: 3,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.53 : 6,383.46 = 2,738.19 : x
  2. Step 2: Convert to fraction form
    4,625.53/6,383.46 = 2,738.19/x
  3. Step 3: Cross multiply
    4,625.53x = 6,383.46 × 2,738.19
  4. Step 4: Simplify right side
    4,625.53x = 17,479,126.34
  5. Step 5: Solve for x
    x = 17,479,126.34/4,625.53
  6. Step 6: Final answer
    x = 3,778.84

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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.