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Finding the Fourth Proportional to 3,049.44, 4,573.74 and 858.35

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Solution

The fourth proportional to 3,049.44, 4,573.74 and 858.35 is: 1,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.44 : 4,573.74 = 858.35 : x
  2. Step 2: Convert to fraction form
    3,049.44/4,573.74 = 858.35/x
  3. Step 3: Cross multiply
    3,049.44x = 4,573.74 × 858.35
  4. Step 4: Simplify right side
    3,049.44x = 3,925,869.73
  5. Step 5: Solve for x
    x = 3,925,869.73/3,049.44
  6. Step 6: Final answer
    x = 1,287.41

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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.