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Finding the Fourth Proportional to 5,308.37, 7,962.62 and 2,021.64

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Solution

The fourth proportional to 5,308.37, 7,962.62 and 2,021.64 is: 3,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.37 : 7,962.62 = 2,021.64 : x
  2. Step 2: Convert to fraction form
    5,308.37/7,962.62 = 2,021.64/x
  3. Step 3: Cross multiply
    5,308.37x = 7,962.62 × 2,021.64
  4. Step 4: Simplify right side
    5,308.37x = 16,097,576.06
  5. Step 5: Solve for x
    x = 16,097,576.06/5,308.37
  6. Step 6: Final answer
    x = 3,032.49

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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.