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Finding the Fourth Proportional to 4,964.96, 6,851.16 and 2,869.04

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Solution

The fourth proportional to 4,964.96, 6,851.16 and 2,869.04 is: 3,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.96 : 6,851.16 = 2,869.04 : x
  2. Step 2: Convert to fraction form
    4,964.96/6,851.16 = 2,869.04/x
  3. Step 3: Cross multiply
    4,964.96x = 6,851.16 × 2,869.04
  4. Step 4: Simplify right side
    4,964.96x = 19,656,252.09
  5. Step 5: Solve for x
    x = 19,656,252.09/4,964.96
  6. Step 6: Final answer
    x = 3,959.00

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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.