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Finding the Fourth Proportional to 6,178.07, 8,525.73 and 3,383.57

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Solution

The fourth proportional to 6,178.07, 8,525.73 and 3,383.57 is: 4,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.07 : 8,525.73 = 3,383.57 : x
  2. Step 2: Convert to fraction form
    6,178.07/8,525.73 = 3,383.57/x
  3. Step 3: Cross multiply
    6,178.07x = 8,525.73 × 3,383.57
  4. Step 4: Simplify right side
    6,178.07x = 28,847,361.63
  5. Step 5: Solve for x
    x = 28,847,361.63/6,178.07
  6. Step 6: Final answer
    x = 4,669.32

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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.