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Finding the Fourth Proportional to 6,178.02, 8,525.25 and 3,525.37

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Solution

The fourth proportional to 6,178.02, 8,525.25 and 3,525.37 is: 4,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.02 : 8,525.25 = 3,525.37 : x
  2. Step 2: Convert to fraction form
    6,178.02/8,525.25 = 3,525.37/x
  3. Step 3: Cross multiply
    6,178.02x = 8,525.25 × 3,525.37
  4. Step 4: Simplify right side
    6,178.02x = 30,054,687.23
  5. Step 5: Solve for x
    x = 30,054,687.23/6,178.02
  6. Step 6: Final answer
    x = 4,864.78

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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.