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Finding the Fourth Proportional to 4,736.07, 6,520.91 and 3,894.08

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Solution

The fourth proportional to 4,736.07, 6,520.91 and 3,894.08 is: 5,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.07 : 6,520.91 = 3,894.08 : x
  2. Step 2: Convert to fraction form
    4,736.07/6,520.91 = 3,894.08/x
  3. Step 3: Cross multiply
    4,736.07x = 6,520.91 × 3,894.08
  4. Step 4: Simplify right side
    4,736.07x = 25,392,893.14
  5. Step 5: Solve for x
    x = 25,392,893.14/4,736.07
  6. Step 6: Final answer
    x = 5,361.60

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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.