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Finding the Fourth Proportional to 3,978.89, 5,964.68 and 1,380

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Solution

The fourth proportional to 3,978.89, 5,964.68 and 1,380 is: 2,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.89 : 5,964.68 = 1,380 : x
  2. Step 2: Convert to fraction form
    3,978.89/5,964.68 = 1,380/x
  3. Step 3: Cross multiply
    3,978.89x = 5,964.68 × 1,380
  4. Step 4: Simplify right side
    3,978.89x = 8,231,251.50
  5. Step 5: Solve for x
    x = 8,231,251.50/3,978.89
  6. Step 6: Final answer
    x = 2,068.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.