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Finding the Fourth Proportional to 4,946.75, 6,827.75 and 3,356.05

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Solution

The fourth proportional to 4,946.75, 6,827.75 and 3,356.05 is: 4,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.75 : 6,827.75 = 3,356.05 : x
  2. Step 2: Convert to fraction form
    4,946.75/6,827.75 = 3,356.05/x
  3. Step 3: Cross multiply
    4,946.75x = 6,827.75 × 3,356.05
  4. Step 4: Simplify right side
    4,946.75x = 22,914,270.39
  5. Step 5: Solve for x
    x = 22,914,270.39/4,946.75
  6. Step 6: Final answer
    x = 4,632.19

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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.