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Finding the Fourth Proportional to 4,967.77, 6,855.42 and 2,729.64

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Solution

The fourth proportional to 4,967.77, 6,855.42 and 2,729.64 is: 3,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.77 : 6,855.42 = 2,729.64 : x
  2. Step 2: Convert to fraction form
    4,967.77/6,855.42 = 2,729.64/x
  3. Step 3: Cross multiply
    4,967.77x = 6,855.42 × 2,729.64
  4. Step 4: Simplify right side
    4,967.77x = 18,712,828.65
  5. Step 5: Solve for x
    x = 18,712,828.65/4,967.77
  6. Step 6: Final answer
    x = 3,766.85

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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.