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Finding the Fourth Proportional to 4,940.64, 7,408.22 and 2,021.00

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Solution

The fourth proportional to 4,940.64, 7,408.22 and 2,021.00 is: 3,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.64 : 7,408.22 = 2,021.00 : x
  2. Step 2: Convert to fraction form
    4,940.64/7,408.22 = 2,021.00/x
  3. Step 3: Cross multiply
    4,940.64x = 7,408.22 × 2,021.00
  4. Step 4: Simplify right side
    4,940.64x = 14,971,975.58
  5. Step 5: Solve for x
    x = 14,971,975.58/4,940.64
  6. Step 6: Final answer
    x = 3,030.37

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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.