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Finding the Fourth Proportional to 5,857.28, 8,069.22 and 4,085.72

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Solution

The fourth proportional to 5,857.28, 8,069.22 and 4,085.72 is: 5,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.28 : 8,069.22 = 4,085.72 : x
  2. Step 2: Convert to fraction form
    5,857.28/8,069.22 = 4,085.72/x
  3. Step 3: Cross multiply
    5,857.28x = 8,069.22 × 4,085.72
  4. Step 4: Simplify right side
    5,857.28x = 32,968,573.54
  5. Step 5: Solve for x
    x = 32,968,573.54/5,857.28
  6. Step 6: Final answer
    x = 5,628.65

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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.