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Finding the Fourth Proportional to 3,954.40, 5,931.90 and 1,180.86

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Solution

The fourth proportional to 3,954.40, 5,931.90 and 1,180.86 is: 1,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.40 : 5,931.90 = 1,180.86 : x
  2. Step 2: Convert to fraction form
    3,954.40/5,931.90 = 1,180.86/x
  3. Step 3: Cross multiply
    3,954.40x = 5,931.90 × 1,180.86
  4. Step 4: Simplify right side
    3,954.40x = 7,004,743.43
  5. Step 5: Solve for x
    x = 7,004,743.43/3,954.40
  6. Step 6: Final answer
    x = 1,771.38

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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.