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Finding the Fourth Proportional to 3,800.26, 5,673.02 and 3,308.20

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Solution

The fourth proportional to 3,800.26, 5,673.02 and 3,308.20 is: 4,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.26 : 5,673.02 = 3,308.20 : x
  2. Step 2: Convert to fraction form
    3,800.26/5,673.02 = 3,308.20/x
  3. Step 3: Cross multiply
    3,800.26x = 5,673.02 × 3,308.20
  4. Step 4: Simplify right side
    3,800.26x = 18,767,484.76
  5. Step 5: Solve for x
    x = 18,767,484.76/3,800.26
  6. Step 6: Final answer
    x = 4,938.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.