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Finding the Fourth Proportional to 4,964.89, 6,851.53 and 2,811.40

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Solution

The fourth proportional to 4,964.89, 6,851.53 and 2,811.40 is: 3,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.89 : 6,851.53 = 2,811.40 : x
  2. Step 2: Convert to fraction form
    4,964.89/6,851.53 = 2,811.40/x
  3. Step 3: Cross multiply
    4,964.89x = 6,851.53 × 2,811.40
  4. Step 4: Simplify right side
    4,964.89x = 19,262,391.44
  5. Step 5: Solve for x
    x = 19,262,391.44/4,964.89
  6. Step 6: Final answer
    x = 3,879.72

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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.