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Finding the Fourth Proportional to 3,762.86, 5,192.30 and 2,170.03

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Solution

The fourth proportional to 3,762.86, 5,192.30 and 2,170.03 is: 2,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.86 : 5,192.30 = 2,170.03 : x
  2. Step 2: Convert to fraction form
    3,762.86/5,192.30 = 2,170.03/x
  3. Step 3: Cross multiply
    3,762.86x = 5,192.30 × 2,170.03
  4. Step 4: Simplify right side
    3,762.86x = 11,267,446.77
  5. Step 5: Solve for x
    x = 11,267,446.77/3,762.86
  6. Step 6: Final answer
    x = 2,994.38

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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.