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Finding the Fourth Proportional to 4,606.72, 6,912.72 and 1,684.64

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Solution

The fourth proportional to 4,606.72, 6,912.72 and 1,684.64 is: 2,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.72 : 6,912.72 = 1,684.64 : x
  2. Step 2: Convert to fraction form
    4,606.72/6,912.72 = 1,684.64/x
  3. Step 3: Cross multiply
    4,606.72x = 6,912.72 × 1,684.64
  4. Step 4: Simplify right side
    4,606.72x = 11,645,444.62
  5. Step 5: Solve for x
    x = 11,645,444.62/4,606.72
  6. Step 6: Final answer
    x = 2,527.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.