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Finding the Fourth Proportional to 3,776.58, 5,665.14 and 1,179.50

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Solution

The fourth proportional to 3,776.58, 5,665.14 and 1,179.50 is: 1,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.58 : 5,665.14 = 1,179.50 : x
  2. Step 2: Convert to fraction form
    3,776.58/5,665.14 = 1,179.50/x
  3. Step 3: Cross multiply
    3,776.58x = 5,665.14 × 1,179.50
  4. Step 4: Simplify right side
    3,776.58x = 6,682,032.63
  5. Step 5: Solve for x
    x = 6,682,032.63/3,776.58
  6. Step 6: Final answer
    x = 1,769.33

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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.