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Finding the Fourth Proportional to 4,093.58, 6,142.44 and 2,013.50

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Solution

The fourth proportional to 4,093.58, 6,142.44 and 2,013.50 is: 3,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.58 : 6,142.44 = 2,013.50 : x
  2. Step 2: Convert to fraction form
    4,093.58/6,142.44 = 2,013.50/x
  3. Step 3: Cross multiply
    4,093.58x = 6,142.44 × 2,013.50
  4. Step 4: Simplify right side
    4,093.58x = 12,367,802.94
  5. Step 5: Solve for x
    x = 12,367,802.94/4,093.58
  6. Step 6: Final answer
    x = 3,021.27

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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.