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Finding the Fourth Proportional to 4,946.66, 6,824.21 and 2,956.22

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Solution

The fourth proportional to 4,946.66, 6,824.21 and 2,956.22 is: 4,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.66 : 6,824.21 = 2,956.22 : x
  2. Step 2: Convert to fraction form
    4,946.66/6,824.21 = 2,956.22/x
  3. Step 3: Cross multiply
    4,946.66x = 6,824.21 × 2,956.22
  4. Step 4: Simplify right side
    4,946.66x = 20,173,866.09
  5. Step 5: Solve for x
    x = 20,173,866.09/4,946.66
  6. Step 6: Final answer
    x = 4,078.28

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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.