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Finding the Fourth Proportional to 4,065.53, 6,086.41 and 3,676.42

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Solution

The fourth proportional to 4,065.53, 6,086.41 and 3,676.42 is: 5,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.53 : 6,086.41 = 3,676.42 : x
  2. Step 2: Convert to fraction form
    4,065.53/6,086.41 = 3,676.42/x
  3. Step 3: Cross multiply
    4,065.53x = 6,086.41 × 3,676.42
  4. Step 4: Simplify right side
    4,065.53x = 22,376,197.87
  5. Step 5: Solve for x
    x = 22,376,197.87/4,065.53
  6. Step 6: Final answer
    x = 5,503.89

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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.