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Finding the Fourth Proportional to 4,965.39, 6,852.22 and 2,811.90

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Solution

The fourth proportional to 4,965.39, 6,852.22 and 2,811.90 is: 3,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.39 : 6,852.22 = 2,811.90 : x
  2. Step 2: Convert to fraction form
    4,965.39/6,852.22 = 2,811.90/x
  3. Step 3: Cross multiply
    4,965.39x = 6,852.22 × 2,811.90
  4. Step 4: Simplify right side
    4,965.39x = 19,267,757.42
  5. Step 5: Solve for x
    x = 19,267,757.42/4,965.39
  6. Step 6: Final answer
    x = 3,880.41

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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.