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Finding the Fourth Proportional to 3,771.29, 5,658.14 and 2,674.75

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Solution

The fourth proportional to 3,771.29, 5,658.14 and 2,674.75 is: 4,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.29 : 5,658.14 = 2,674.75 : x
  2. Step 2: Convert to fraction form
    3,771.29/5,658.14 = 2,674.75/x
  3. Step 3: Cross multiply
    3,771.29x = 5,658.14 × 2,674.75
  4. Step 4: Simplify right side
    3,771.29x = 15,134,102.51
  5. Step 5: Solve for x
    x = 15,134,102.51/3,771.29
  6. Step 6: Final answer
    x = 4,012.98

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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.