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Finding the Fourth Proportional to 3,934.36, 5,900.32 and 1,301.38

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Solution

The fourth proportional to 3,934.36, 5,900.32 and 1,301.38 is: 1,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.36 : 5,900.32 = 1,301.38 : x
  2. Step 2: Convert to fraction form
    3,934.36/5,900.32 = 1,301.38/x
  3. Step 3: Cross multiply
    3,934.36x = 5,900.32 × 1,301.38
  4. Step 4: Simplify right side
    3,934.36x = 7,678,558.44
  5. Step 5: Solve for x
    x = 7,678,558.44/3,934.36
  6. Step 6: Final answer
    x = 1,951.67

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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.