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Finding the Fourth Proportional to 4,946, 6,825.48 and 2,851.34

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Solution

The fourth proportional to 4,946, 6,825.48 and 2,851.34 is: 3,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 6,825.48 = 2,851.34 : x
  2. Step 2: Convert to fraction form
    4,946/6,825.48 = 2,851.34/x
  3. Step 3: Cross multiply
    4,946x = 6,825.48 × 2,851.34
  4. Step 4: Simplify right side
    4,946x = 19,461,764.14
  5. Step 5: Solve for x
    x = 19,461,764.14/4,946
  6. Step 6: Final answer
    x = 3,934.85

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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.