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Finding the Fourth Proportional to 3,651.84, 5,475.84 and 3,141.12

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Solution

The fourth proportional to 3,651.84, 5,475.84 and 3,141.12 is: 4,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.84 : 5,475.84 = 3,141.12 : x
  2. Step 2: Convert to fraction form
    3,651.84/5,475.84 = 3,141.12/x
  3. Step 3: Cross multiply
    3,651.84x = 5,475.84 × 3,141.12
  4. Step 4: Simplify right side
    3,651.84x = 17,200,270.54
  5. Step 5: Solve for x
    x = 17,200,270.54/3,651.84
  6. Step 6: Final answer
    x = 4,710.03

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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.