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Finding the Fourth Proportional to 4,735.56, 6,534.31 and 2,846.69

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Solution

The fourth proportional to 4,735.56, 6,534.31 and 2,846.69 is: 3,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.56 : 6,534.31 = 2,846.69 : x
  2. Step 2: Convert to fraction form
    4,735.56/6,534.31 = 2,846.69/x
  3. Step 3: Cross multiply
    4,735.56x = 6,534.31 × 2,846.69
  4. Step 4: Simplify right side
    4,735.56x = 18,601,154.93
  5. Step 5: Solve for x
    x = 18,601,154.93/4,735.56
  6. Step 6: Final answer
    x = 3,927.97

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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.