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Finding the Fourth Proportional to 3,775.09, 5,662.79 and 1,178.03

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Solution

The fourth proportional to 3,775.09, 5,662.79 and 1,178.03 is: 1,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.09 : 5,662.79 = 1,178.03 : x
  2. Step 2: Convert to fraction form
    3,775.09/5,662.79 = 1,178.03/x
  3. Step 3: Cross multiply
    3,775.09x = 5,662.79 × 1,178.03
  4. Step 4: Simplify right side
    3,775.09x = 6,670,936.50
  5. Step 5: Solve for x
    x = 6,670,936.50/3,775.09
  6. Step 6: Final answer
    x = 1,767.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.