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Finding the Fourth Proportional to 3,540.93, 5,311.39 and 1,075.76

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Solution

The fourth proportional to 3,540.93, 5,311.39 and 1,075.76 is: 1,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.93 : 5,311.39 = 1,075.76 : x
  2. Step 2: Convert to fraction form
    3,540.93/5,311.39 = 1,075.76/x
  3. Step 3: Cross multiply
    3,540.93x = 5,311.39 × 1,075.76
  4. Step 4: Simplify right side
    3,540.93x = 5,713,780.91
  5. Step 5: Solve for x
    x = 5,713,780.91/3,540.93
  6. Step 6: Final answer
    x = 1,613.64

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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.