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Finding the Fourth Proportional to 3,965.60, 5,940.30 and 1,879.28

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Solution

The fourth proportional to 3,965.60, 5,940.30 and 1,879.28 is: 2,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.60 : 5,940.30 = 1,879.28 : x
  2. Step 2: Convert to fraction form
    3,965.60/5,940.30 = 1,879.28/x
  3. Step 3: Cross multiply
    3,965.60x = 5,940.30 × 1,879.28
  4. Step 4: Simplify right side
    3,965.60x = 11,163,457.28
  5. Step 5: Solve for x
    x = 11,163,457.28/3,965.60
  6. Step 6: Final answer
    x = 2,815.08

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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.