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Finding the Fourth Proportional to 4,576.50, 6,314.74 and 3,946.37

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Solution

The fourth proportional to 4,576.50, 6,314.74 and 3,946.37 is: 5,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.50 : 6,314.74 = 3,946.37 : x
  2. Step 2: Convert to fraction form
    4,576.50/6,314.74 = 3,946.37/x
  3. Step 3: Cross multiply
    4,576.50x = 6,314.74 × 3,946.37
  4. Step 4: Simplify right side
    4,576.50x = 24,920,268.92
  5. Step 5: Solve for x
    x = 24,920,268.92/4,576.50
  6. Step 6: Final answer
    x = 5,445.27

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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.