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Finding the Fourth Proportional to 4,735.92, 6,533.28 and 3,164.56

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Solution

The fourth proportional to 4,735.92, 6,533.28 and 3,164.56 is: 4,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.92 : 6,533.28 = 3,164.56 : x
  2. Step 2: Convert to fraction form
    4,735.92/6,533.28 = 3,164.56/x
  3. Step 3: Cross multiply
    4,735.92x = 6,533.28 × 3,164.56
  4. Step 4: Simplify right side
    4,735.92x = 20,674,956.56
  5. Step 5: Solve for x
    x = 20,674,956.56/4,735.92
  6. Step 6: Final answer
    x = 4,365.56

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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.