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Finding the Fourth Proportional to 4,946.88, 6,827.02 and 2,851.14

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Solution

The fourth proportional to 4,946.88, 6,827.02 and 2,851.14 is: 3,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.88 : 6,827.02 = 2,851.14 : x
  2. Step 2: Convert to fraction form
    4,946.88/6,827.02 = 2,851.14/x
  3. Step 3: Cross multiply
    4,946.88x = 6,827.02 × 2,851.14
  4. Step 4: Simplify right side
    4,946.88x = 19,464,789.80
  5. Step 5: Solve for x
    x = 19,464,789.80/4,946.88
  6. Step 6: Final answer
    x = 3,934.76

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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.