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Finding the Fourth Proportional to 3,783.65, 5,675.00 and 1,318.25

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Solution

The fourth proportional to 3,783.65, 5,675.00 and 1,318.25 is: 1,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.65 : 5,675.00 = 1,318.25 : x
  2. Step 2: Convert to fraction form
    3,783.65/5,675.00 = 1,318.25/x
  3. Step 3: Cross multiply
    3,783.65x = 5,675.00 × 1,318.25
  4. Step 4: Simplify right side
    3,783.65x = 7,481,033.78
  5. Step 5: Solve for x
    x = 7,481,033.78/3,783.65
  6. Step 6: Final answer
    x = 1,977.20

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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.