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Finding the Fourth Proportional to 4,736.83, 6,538.62 and 3,725.92

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Solution

The fourth proportional to 4,736.83, 6,538.62 and 3,725.92 is: 5,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.83 : 6,538.62 = 3,725.92 : x
  2. Step 2: Convert to fraction form
    4,736.83/6,538.62 = 3,725.92/x
  3. Step 3: Cross multiply
    4,736.83x = 6,538.62 × 3,725.92
  4. Step 4: Simplify right side
    4,736.83x = 24,362,375.03
  5. Step 5: Solve for x
    x = 24,362,375.03/4,736.83
  6. Step 6: Final answer
    x = 5,143.18

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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.