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Finding the Fourth Proportional to 4,250, 6,377.52 and 1,941.68

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Solution

The fourth proportional to 4,250, 6,377.52 and 1,941.68 is: 2,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250 : 6,377.52 = 1,941.68 : x
  2. Step 2: Convert to fraction form
    4,250/6,377.52 = 1,941.68/x
  3. Step 3: Cross multiply
    4,250x = 6,377.52 × 1,941.68
  4. Step 4: Simplify right side
    4,250x = 12,383,103.03
  5. Step 5: Solve for x
    x = 12,383,103.03/4,250
  6. Step 6: Final answer
    x = 2,913.67

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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.