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Finding the Fourth Proportional to 3,954.68, 5,930.04 and 1,764.08

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Solution

The fourth proportional to 3,954.68, 5,930.04 and 1,764.08 is: 2,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.68 : 5,930.04 = 1,764.08 : x
  2. Step 2: Convert to fraction form
    3,954.68/5,930.04 = 1,764.08/x
  3. Step 3: Cross multiply
    3,954.68x = 5,930.04 × 1,764.08
  4. Step 4: Simplify right side
    3,954.68x = 10,461,064.96
  5. Step 5: Solve for x
    x = 10,461,064.96/3,954.68
  6. Step 6: Final answer
    x = 2,645.24

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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.