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Finding the Fourth Proportional to 3,978.86, 5,967.75 and 1,167.62

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Solution

The fourth proportional to 3,978.86, 5,967.75 and 1,167.62 is: 1,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.86 : 5,967.75 = 1,167.62 : x
  2. Step 2: Convert to fraction form
    3,978.86/5,967.75 = 1,167.62/x
  3. Step 3: Cross multiply
    3,978.86x = 5,967.75 × 1,167.62
  4. Step 4: Simplify right side
    3,978.86x = 6,968,064.26
  5. Step 5: Solve for x
    x = 6,968,064.26/3,978.86
  6. Step 6: Final answer
    x = 1,751.27

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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.