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Finding the Fourth Proportional to 5,660.98, 8,493.90 and 4,028.02

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Solution

The fourth proportional to 5,660.98, 8,493.90 and 4,028.02 is: 6,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.98 : 8,493.90 = 4,028.02 : x
  2. Step 2: Convert to fraction form
    5,660.98/8,493.90 = 4,028.02/x
  3. Step 3: Cross multiply
    5,660.98x = 8,493.90 × 4,028.02
  4. Step 4: Simplify right side
    5,660.98x = 34,213,599.08
  5. Step 5: Solve for x
    x = 34,213,599.08/5,660.98
  6. Step 6: Final answer
    x = 6,043.76

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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.