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Finding the Fourth Proportional to 3,965.69, 5,949.44 and 1,368.63

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Solution

The fourth proportional to 3,965.69, 5,949.44 and 1,368.63 is: 2,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.69 : 5,949.44 = 1,368.63 : x
  2. Step 2: Convert to fraction form
    3,965.69/5,949.44 = 1,368.63/x
  3. Step 3: Cross multiply
    3,965.69x = 5,949.44 × 1,368.63
  4. Step 4: Simplify right side
    3,965.69x = 8,142,582.07
  5. Step 5: Solve for x
    x = 8,142,582.07/3,965.69
  6. Step 6: Final answer
    x = 2,053.26

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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.