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Finding the Fourth Proportional to 4,966, 6,853.08 and 2,758

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Solution

The fourth proportional to 4,966, 6,853.08 and 2,758 is: 3,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966 : 6,853.08 = 2,758 : x
  2. Step 2: Convert to fraction form
    4,966/6,853.08 = 2,758/x
  3. Step 3: Cross multiply
    4,966x = 6,853.08 × 2,758
  4. Step 4: Simplify right side
    4,966x = 18,900,794.64
  5. Step 5: Solve for x
    x = 18,900,794.64/4,966
  6. Step 6: Final answer
    x = 3,806.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.