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Finding the Fourth Proportional to 5,984.58, 8,257.02 and 3,593.90

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Solution

The fourth proportional to 5,984.58, 8,257.02 and 3,593.90 is: 4,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.58 : 8,257.02 = 3,593.90 : x
  2. Step 2: Convert to fraction form
    5,984.58/8,257.02 = 3,593.90/x
  3. Step 3: Cross multiply
    5,984.58x = 8,257.02 × 3,593.90
  4. Step 4: Simplify right side
    5,984.58x = 29,674,904.18
  5. Step 5: Solve for x
    x = 29,674,904.18/5,984.58
  6. Step 6: Final answer
    x = 4,958.56

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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.