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Finding the Fourth Proportional to 4,964.77, 6,852.01 and 2,868.49

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Solution

The fourth proportional to 4,964.77, 6,852.01 and 2,868.49 is: 3,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.77 : 6,852.01 = 2,868.49 : x
  2. Step 2: Convert to fraction form
    4,964.77/6,852.01 = 2,868.49/x
  3. Step 3: Cross multiply
    4,964.77x = 6,852.01 × 2,868.49
  4. Step 4: Simplify right side
    4,964.77x = 19,654,922.16
  5. Step 5: Solve for x
    x = 19,654,922.16/4,964.77
  6. Step 6: Final answer
    x = 3,958.88

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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.