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Finding the Fourth Proportional to 4,969.80, 6,856.82 and 2,873.64

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Solution

The fourth proportional to 4,969.80, 6,856.82 and 2,873.64 is: 3,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.80 : 6,856.82 = 2,873.64 : x
  2. Step 2: Convert to fraction form
    4,969.80/6,856.82 = 2,873.64/x
  3. Step 3: Cross multiply
    4,969.80x = 6,856.82 × 2,873.64
  4. Step 4: Simplify right side
    4,969.80x = 19,704,032.22
  5. Step 5: Solve for x
    x = 19,704,032.22/4,969.80
  6. Step 6: Final answer
    x = 3,964.75

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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.