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Finding the Fourth Proportional to 5,754.44, 7,906.71 and 4,573.46

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Solution

The fourth proportional to 5,754.44, 7,906.71 and 4,573.46 is: 6,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.44 : 7,906.71 = 4,573.46 : x
  2. Step 2: Convert to fraction form
    5,754.44/7,906.71 = 4,573.46/x
  3. Step 3: Cross multiply
    5,754.44x = 7,906.71 × 4,573.46
  4. Step 4: Simplify right side
    5,754.44x = 36,160,959.52
  5. Step 5: Solve for x
    x = 36,160,959.52/5,754.44
  6. Step 6: Final answer
    x = 6,284.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.