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Finding the Fourth Proportional to 3,978.90, 5,968.32 and 1,057.41

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Solution

The fourth proportional to 3,978.90, 5,968.32 and 1,057.41 is: 1,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.90 : 5,968.32 = 1,057.41 : x
  2. Step 2: Convert to fraction form
    3,978.90/5,968.32 = 1,057.41/x
  3. Step 3: Cross multiply
    3,978.90x = 5,968.32 × 1,057.41
  4. Step 4: Simplify right side
    3,978.90x = 6,310,961.25
  5. Step 5: Solve for x
    x = 6,310,961.25/3,978.90
  6. Step 6: Final answer
    x = 1,586.11

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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.