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Finding the Fourth Proportional to 5,629.77, 7,770.33 and 3,744.63

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Solution

The fourth proportional to 5,629.77, 7,770.33 and 3,744.63 is: 5,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.77 : 7,770.33 = 3,744.63 : x
  2. Step 2: Convert to fraction form
    5,629.77/7,770.33 = 3,744.63/x
  3. Step 3: Cross multiply
    5,629.77x = 7,770.33 × 3,744.63
  4. Step 4: Simplify right side
    5,629.77x = 29,097,010.83
  5. Step 5: Solve for x
    x = 29,097,010.83/5,629.77
  6. Step 6: Final answer
    x = 5,168.42

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1.5x scale

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.