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Finding the Fourth Proportional to 3,784.77, 5,668.94 and 1,832.88

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Solution

The fourth proportional to 3,784.77, 5,668.94 and 1,832.88 is: 2,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.77 : 5,668.94 = 1,832.88 : x
  2. Step 2: Convert to fraction form
    3,784.77/5,668.94 = 1,832.88/x
  3. Step 3: Cross multiply
    3,784.77x = 5,668.94 × 1,832.88
  4. Step 4: Simplify right side
    3,784.77x = 10,390,458.40
  5. Step 5: Solve for x
    x = 10,390,458.40/3,784.77
  6. Step 6: Final answer
    x = 2,745.34

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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.