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Finding the Fourth Proportional to 4,905.76, 6,769.92 and 2,667.64

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Solution

The fourth proportional to 4,905.76, 6,769.92 and 2,667.64 is: 3,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.76 : 6,769.92 = 2,667.64 : x
  2. Step 2: Convert to fraction form
    4,905.76/6,769.92 = 2,667.64/x
  3. Step 3: Cross multiply
    4,905.76x = 6,769.92 × 2,667.64
  4. Step 4: Simplify right side
    4,905.76x = 18,059,662.20
  5. Step 5: Solve for x
    x = 18,059,662.20/4,905.76
  6. Step 6: Final answer
    x = 3,681.32

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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.