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Finding the Fourth Proportional to 4,151.72, 6,224.54 and 1,959.22

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Solution

The fourth proportional to 4,151.72, 6,224.54 and 1,959.22 is: 2,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.72 : 6,224.54 = 1,959.22 : x
  2. Step 2: Convert to fraction form
    4,151.72/6,224.54 = 1,959.22/x
  3. Step 3: Cross multiply
    4,151.72x = 6,224.54 × 1,959.22
  4. Step 4: Simplify right side
    4,151.72x = 12,195,243.26
  5. Step 5: Solve for x
    x = 12,195,243.26/4,151.72
  6. Step 6: Final answer
    x = 2,937.40

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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.