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Finding the Fourth Proportional to 4,083.63, 6,121.17 and 1,713.07

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Solution

The fourth proportional to 4,083.63, 6,121.17 and 1,713.07 is: 2,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.63 : 6,121.17 = 1,713.07 : x
  2. Step 2: Convert to fraction form
    4,083.63/6,121.17 = 1,713.07/x
  3. Step 3: Cross multiply
    4,083.63x = 6,121.17 × 1,713.07
  4. Step 4: Simplify right side
    4,083.63x = 10,485,953.52
  5. Step 5: Solve for x
    x = 10,485,953.52/4,083.63
  6. Step 6: Final answer
    x = 2,567.80

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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.