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Finding the Fourth Proportional to 3,745.03, 5,168.63 and 3,114.48

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Solution

The fourth proportional to 3,745.03, 5,168.63 and 3,114.48 is: 4,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.03 : 5,168.63 = 3,114.48 : x
  2. Step 2: Convert to fraction form
    3,745.03/5,168.63 = 3,114.48/x
  3. Step 3: Cross multiply
    3,745.03x = 5,168.63 × 3,114.48
  4. Step 4: Simplify right side
    3,745.03x = 16,097,579.19
  5. Step 5: Solve for x
    x = 16,097,579.19/3,745.03
  6. Step 6: Final answer
    x = 4,298.38

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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.