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Finding the Fourth Proportional to 3,963.30, 5,945.93 and 1,190.02

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Solution

The fourth proportional to 3,963.30, 5,945.93 and 1,190.02 is: 1,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.30 : 5,945.93 = 1,190.02 : x
  2. Step 2: Convert to fraction form
    3,963.30/5,945.93 = 1,190.02/x
  3. Step 3: Cross multiply
    3,963.30x = 5,945.93 × 1,190.02
  4. Step 4: Simplify right side
    3,963.30x = 7,075,775.62
  5. Step 5: Solve for x
    x = 7,075,775.62/3,963.30
  6. Step 6: Final answer
    x = 1,785.32

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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.