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Finding the Fourth Proportional to 3,951.44, 5,925.93 and 1,177.59

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Solution

The fourth proportional to 3,951.44, 5,925.93 and 1,177.59 is: 1,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.44 : 5,925.93 = 1,177.59 : x
  2. Step 2: Convert to fraction form
    3,951.44/5,925.93 = 1,177.59/x
  3. Step 3: Cross multiply
    3,951.44x = 5,925.93 × 1,177.59
  4. Step 4: Simplify right side
    3,951.44x = 6,978,315.91
  5. Step 5: Solve for x
    x = 6,978,315.91/3,951.44
  6. Step 6: Final answer
    x = 1,766.02

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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.