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Finding the Fourth Proportional to 3,383.43, 5,075.92 and 1,043.65

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Solution

The fourth proportional to 3,383.43, 5,075.92 and 1,043.65 is: 1,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.43 : 5,075.92 = 1,043.65 : x
  2. Step 2: Convert to fraction form
    3,383.43/5,075.92 = 1,043.65/x
  3. Step 3: Cross multiply
    3,383.43x = 5,075.92 × 1,043.65
  4. Step 4: Simplify right side
    3,383.43x = 5,297,457.13
  5. Step 5: Solve for x
    x = 5,297,457.13/3,383.43
  6. Step 6: Final answer
    x = 1,565.71

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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.