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Finding the Fourth Proportional to 4,786.83, 6,605.79 and 2,662.38

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Solution

The fourth proportional to 4,786.83, 6,605.79 and 2,662.38 is: 3,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.83 : 6,605.79 = 2,662.38 : x
  2. Step 2: Convert to fraction form
    4,786.83/6,605.79 = 2,662.38/x
  3. Step 3: Cross multiply
    4,786.83x = 6,605.79 × 2,662.38
  4. Step 4: Simplify right side
    4,786.83x = 17,587,123.18
  5. Step 5: Solve for x
    x = 17,587,123.18/4,786.83
  6. Step 6: Final answer
    x = 3,674.06

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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.