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Finding the Fourth Proportional to 5,860.28, 8,090.96 and 5,229.72

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Solution

The fourth proportional to 5,860.28, 8,090.96 and 5,229.72 is: 7,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.28 : 8,090.96 = 5,229.72 : x
  2. Step 2: Convert to fraction form
    5,860.28/8,090.96 = 5,229.72/x
  3. Step 3: Cross multiply
    5,860.28x = 8,090.96 × 5,229.72
  4. Step 4: Simplify right side
    5,860.28x = 42,313,468.41
  5. Step 5: Solve for x
    x = 42,313,468.41/5,860.28
  6. Step 6: Final answer
    x = 7,220.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.