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Finding the Fourth Proportional to 4,640.72, 6,961.98 and 1,719.02

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Solution

The fourth proportional to 4,640.72, 6,961.98 and 1,719.02 is: 2,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.72 : 6,961.98 = 1,719.02 : x
  2. Step 2: Convert to fraction form
    4,640.72/6,961.98 = 1,719.02/x
  3. Step 3: Cross multiply
    4,640.72x = 6,961.98 × 1,719.02
  4. Step 4: Simplify right side
    4,640.72x = 11,967,782.86
  5. Step 5: Solve for x
    x = 11,967,782.86/4,640.72
  6. Step 6: Final answer
    x = 2,578.86

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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.