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Finding the Fourth Proportional to 3,762.15, 5,191.82 and 2,346.41

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Solution

The fourth proportional to 3,762.15, 5,191.82 and 2,346.41 is: 3,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.15 : 5,191.82 = 2,346.41 : x
  2. Step 2: Convert to fraction form
    3,762.15/5,191.82 = 2,346.41/x
  3. Step 3: Cross multiply
    3,762.15x = 5,191.82 × 2,346.41
  4. Step 4: Simplify right side
    3,762.15x = 12,182,100.68
  5. Step 5: Solve for x
    x = 12,182,100.68/3,762.15
  6. Step 6: Final answer
    x = 3,238.07

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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.