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Finding the Fourth Proportional to 4,964.56, 6,849.87 and 2,811.14

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Solution

The fourth proportional to 4,964.56, 6,849.87 and 2,811.14 is: 3,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.56 : 6,849.87 = 2,811.14 : x
  2. Step 2: Convert to fraction form
    4,964.56/6,849.87 = 2,811.14/x
  3. Step 3: Cross multiply
    4,964.56x = 6,849.87 × 2,811.14
  4. Step 4: Simplify right side
    4,964.56x = 19,255,924.45
  5. Step 5: Solve for x
    x = 19,255,924.45/4,964.56
  6. Step 6: Final answer
    x = 3,878.68

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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.