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Finding the Fourth Proportional to 4,462.06, 6,696.16 and 1,540.37

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Solution

The fourth proportional to 4,462.06, 6,696.16 and 1,540.37 is: 2,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.06 : 6,696.16 = 1,540.37 : x
  2. Step 2: Convert to fraction form
    4,462.06/6,696.16 = 1,540.37/x
  3. Step 3: Cross multiply
    4,462.06x = 6,696.16 × 1,540.37
  4. Step 4: Simplify right side
    4,462.06x = 10,314,530.50
  5. Step 5: Solve for x
    x = 10,314,530.50/4,462.06
  6. Step 6: Final answer
    x = 2,311.61

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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.