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Finding the Fourth Proportional to 5,959.86, 8,224.47 and 3,307.23

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Solution

The fourth proportional to 5,959.86, 8,224.47 and 3,307.23 is: 4,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.86 : 8,224.47 = 3,307.23 : x
  2. Step 2: Convert to fraction form
    5,959.86/8,224.47 = 3,307.23/x
  3. Step 3: Cross multiply
    5,959.86x = 8,224.47 × 3,307.23
  4. Step 4: Simplify right side
    5,959.86x = 27,200,213.92
  5. Step 5: Solve for x
    x = 27,200,213.92/5,959.86
  6. Step 6: Final answer
    x = 4,563.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.