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Finding the Fourth Proportional to 3,954.21, 5,926.80 and 1,321.09

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Solution

The fourth proportional to 3,954.21, 5,926.80 and 1,321.09 is: 1,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.21 : 5,926.80 = 1,321.09 : x
  2. Step 2: Convert to fraction form
    3,954.21/5,926.80 = 1,321.09/x
  3. Step 3: Cross multiply
    3,954.21x = 5,926.80 × 1,321.09
  4. Step 4: Simplify right side
    3,954.21x = 7,829,826.35
  5. Step 5: Solve for x
    x = 7,829,826.35/3,954.21
  6. Step 6: Final answer
    x = 1,980.13

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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.