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Finding the Fourth Proportional to 3,540.84, 5,311.25 and 1,075.65

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Solution

The fourth proportional to 3,540.84, 5,311.25 and 1,075.65 is: 1,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.84 : 5,311.25 = 1,075.65 : x
  2. Step 2: Convert to fraction form
    3,540.84/5,311.25 = 1,075.65/x
  3. Step 3: Cross multiply
    3,540.84x = 5,311.25 × 1,075.65
  4. Step 4: Simplify right side
    3,540.84x = 5,713,046.06
  5. Step 5: Solve for x
    x = 5,713,046.06/3,540.84
  6. Step 6: Final answer
    x = 1,613.47

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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.