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Finding the Fourth Proportional to 3,991.60, 5,980.80 and 3,165.52

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Solution

The fourth proportional to 3,991.60, 5,980.80 and 3,165.52 is: 4,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.60 : 5,980.80 = 3,165.52 : x
  2. Step 2: Convert to fraction form
    3,991.60/5,980.80 = 3,165.52/x
  3. Step 3: Cross multiply
    3,991.60x = 5,980.80 × 3,165.52
  4. Step 4: Simplify right side
    3,991.60x = 18,932,342.02
  5. Step 5: Solve for x
    x = 18,932,342.02/3,991.60
  6. Step 6: Final answer
    x = 4,743.05

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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.