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Finding the Fourth Proportional to 5,729.40, 8,579.49 and 3,775.68

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Solution

The fourth proportional to 5,729.40, 8,579.49 and 3,775.68 is: 5,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.40 : 8,579.49 = 3,775.68 : x
  2. Step 2: Convert to fraction form
    5,729.40/8,579.49 = 3,775.68/x
  3. Step 3: Cross multiply
    5,729.40x = 8,579.49 × 3,775.68
  4. Step 4: Simplify right side
    5,729.40x = 32,393,408.80
  5. Step 5: Solve for x
    x = 32,393,408.80/5,729.40
  6. Step 6: Final answer
    x = 5,653.89

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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.