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Finding the Fourth Proportional to 3,540.71, 5,311.67 and 1,075.77

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Solution

The fourth proportional to 3,540.71, 5,311.67 and 1,075.77 is: 1,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.71 : 5,311.67 = 1,075.77 : x
  2. Step 2: Convert to fraction form
    3,540.71/5,311.67 = 1,075.77/x
  3. Step 3: Cross multiply
    3,540.71x = 5,311.67 × 1,075.77
  4. Step 4: Simplify right side
    3,540.71x = 5,714,129.86
  5. Step 5: Solve for x
    x = 5,714,129.86/3,540.71
  6. Step 6: Final answer
    x = 1,613.84

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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.