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Finding the Fourth Proportional to 3,383.14, 5,075.16 and 1,191.46

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Solution

The fourth proportional to 3,383.14, 5,075.16 and 1,191.46 is: 1,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.14 : 5,075.16 = 1,191.46 : x
  2. Step 2: Convert to fraction form
    3,383.14/5,075.16 = 1,191.46/x
  3. Step 3: Cross multiply
    3,383.14x = 5,075.16 × 1,191.46
  4. Step 4: Simplify right side
    3,383.14x = 6,046,850.13
  5. Step 5: Solve for x
    x = 6,046,850.13/3,383.14
  6. Step 6: Final answer
    x = 1,787.35

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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.