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Finding the Fourth Proportional to 3,771.74, 5,658.41 and 1,139.45

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Solution

The fourth proportional to 3,771.74, 5,658.41 and 1,139.45 is: 1,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.74 : 5,658.41 = 1,139.45 : x
  2. Step 2: Convert to fraction form
    3,771.74/5,658.41 = 1,139.45/x
  3. Step 3: Cross multiply
    3,771.74x = 5,658.41 × 1,139.45
  4. Step 4: Simplify right side
    3,771.74x = 6,447,446.98
  5. Step 5: Solve for x
    x = 6,447,446.98/3,771.74
  6. Step 6: Final answer
    x = 1,709.41

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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.