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Finding the Fourth Proportional to 4,771.44, 7,157.07 and 1,959.66

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Solution

The fourth proportional to 4,771.44, 7,157.07 and 1,959.66 is: 2,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.44 : 7,157.07 = 1,959.66 : x
  2. Step 2: Convert to fraction form
    4,771.44/7,157.07 = 1,959.66/x
  3. Step 3: Cross multiply
    4,771.44x = 7,157.07 × 1,959.66
  4. Step 4: Simplify right side
    4,771.44x = 14,025,423.80
  5. Step 5: Solve for x
    x = 14,025,423.80/4,771.44
  6. Step 6: Final answer
    x = 2,939.45

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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.