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Finding the Fourth Proportional to 5,049.98, 7,575.83 and 1,930.26

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Solution

The fourth proportional to 5,049.98, 7,575.83 and 1,930.26 is: 2,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.98 : 7,575.83 = 1,930.26 : x
  2. Step 2: Convert to fraction form
    5,049.98/7,575.83 = 1,930.26/x
  3. Step 3: Cross multiply
    5,049.98x = 7,575.83 × 1,930.26
  4. Step 4: Simplify right side
    5,049.98x = 14,623,321.62
  5. Step 5: Solve for x
    x = 14,623,321.62/5,049.98
  6. Step 6: Final answer
    x = 2,895.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.