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Finding the Fourth Proportional to 3,954.57, 5,927.73 and 1,764.84

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Solution

The fourth proportional to 3,954.57, 5,927.73 and 1,764.84 is: 2,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.57 : 5,927.73 = 1,764.84 : x
  2. Step 2: Convert to fraction form
    3,954.57/5,927.73 = 1,764.84/x
  3. Step 3: Cross multiply
    3,954.57x = 5,927.73 × 1,764.84
  4. Step 4: Simplify right side
    3,954.57x = 10,461,495.01
  5. Step 5: Solve for x
    x = 10,461,495.01/3,954.57
  6. Step 6: Final answer
    x = 2,645.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.