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Finding the Fourth Proportional to 3,964.08, 5,945.40 and 1,190.10

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Solution

The fourth proportional to 3,964.08, 5,945.40 and 1,190.10 is: 1,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.08 : 5,945.40 = 1,190.10 : x
  2. Step 2: Convert to fraction form
    3,964.08/5,945.40 = 1,190.10/x
  3. Step 3: Cross multiply
    3,964.08x = 5,945.40 × 1,190.10
  4. Step 4: Simplify right side
    3,964.08x = 7,075,620.54
  5. Step 5: Solve for x
    x = 7,075,620.54/3,964.08
  6. Step 6: Final answer
    x = 1,784.93

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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.