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Finding the Fourth Proportional to 5,300.30, 7,951.97 and 2,138.74

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Solution

The fourth proportional to 5,300.30, 7,951.97 and 2,138.74 is: 3,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.30 : 7,951.97 = 2,138.74 : x
  2. Step 2: Convert to fraction form
    5,300.30/7,951.97 = 2,138.74/x
  3. Step 3: Cross multiply
    5,300.30x = 7,951.97 × 2,138.74
  4. Step 4: Simplify right side
    5,300.30x = 17,007,181.78
  5. Step 5: Solve for x
    x = 17,007,181.78/5,300.30
  6. Step 6: Final answer
    x = 3,208.72

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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.