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Finding the Fourth Proportional to 5,308.13, 7,962.28 and 2,021.41

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Solution

The fourth proportional to 5,308.13, 7,962.28 and 2,021.41 is: 3,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.13 : 7,962.28 = 2,021.41 : x
  2. Step 2: Convert to fraction form
    5,308.13/7,962.28 = 2,021.41/x
  3. Step 3: Cross multiply
    5,308.13x = 7,962.28 × 2,021.41
  4. Step 4: Simplify right side
    5,308.13x = 16,094,982.50
  5. Step 5: Solve for x
    x = 16,094,982.50/5,308.13
  6. Step 6: Final answer
    x = 3,032.14

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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.