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Finding the Fourth Proportional to 3,857.68, 5,323.27 and 2,959.79

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Solution

The fourth proportional to 3,857.68, 5,323.27 and 2,959.79 is: 4,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.68 : 5,323.27 = 2,959.79 : x
  2. Step 2: Convert to fraction form
    3,857.68/5,323.27 = 2,959.79/x
  3. Step 3: Cross multiply
    3,857.68x = 5,323.27 × 2,959.79
  4. Step 4: Simplify right side
    3,857.68x = 15,755,762.79
  5. Step 5: Solve for x
    x = 15,755,762.79/3,857.68
  6. Step 6: Final answer
    x = 4,084.26

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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.