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Finding the Fourth Proportional to 4,946.58, 6,827.94 and 3,940.20

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Solution

The fourth proportional to 4,946.58, 6,827.94 and 3,940.20 is: 5,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.58 : 6,827.94 = 3,940.20 : x
  2. Step 2: Convert to fraction form
    4,946.58/6,827.94 = 3,940.20/x
  3. Step 3: Cross multiply
    4,946.58x = 6,827.94 × 3,940.20
  4. Step 4: Simplify right side
    4,946.58x = 26,903,449.19
  5. Step 5: Solve for x
    x = 26,903,449.19/4,946.58
  6. Step 6: Final answer
    x = 5,438.80

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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.