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Finding the Fourth Proportional to 4,827.39, 6,662.01 and 3,777.63

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Solution

The fourth proportional to 4,827.39, 6,662.01 and 3,777.63 is: 5,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.39 : 6,662.01 = 3,777.63 : x
  2. Step 2: Convert to fraction form
    4,827.39/6,662.01 = 3,777.63/x
  3. Step 3: Cross multiply
    4,827.39x = 6,662.01 × 3,777.63
  4. Step 4: Simplify right side
    4,827.39x = 25,166,608.84
  5. Step 5: Solve for x
    x = 25,166,608.84/4,827.39
  6. Step 6: Final answer
    x = 5,213.30

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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.