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Finding the Fourth Proportional to 4,965.10, 6,852 and 2,869.23

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Solution

The fourth proportional to 4,965.10, 6,852 and 2,869.23 is: 3,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.10 : 6,852 = 2,869.23 : x
  2. Step 2: Convert to fraction form
    4,965.10/6,852 = 2,869.23/x
  3. Step 3: Cross multiply
    4,965.10x = 6,852 × 2,869.23
  4. Step 4: Simplify right side
    4,965.10x = 19,659,963.96
  5. Step 5: Solve for x
    x = 19,659,963.96/4,965.10
  6. Step 6: Final answer
    x = 3,959.63

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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.