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Finding the Fourth Proportional to 4,676.32, 7,015.99 and 3,122.64

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Solution

The fourth proportional to 4,676.32, 7,015.99 and 3,122.64 is: 4,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.32 : 7,015.99 = 3,122.64 : x
  2. Step 2: Convert to fraction form
    4,676.32/7,015.99 = 3,122.64/x
  3. Step 3: Cross multiply
    4,676.32x = 7,015.99 × 3,122.64
  4. Step 4: Simplify right side
    4,676.32x = 21,908,375.93
  5. Step 5: Solve for x
    x = 21,908,375.93/4,676.32
  6. Step 6: Final answer
    x = 4,684.97

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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.