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Finding the Fourth Proportional to 3,672.28, 5,509.38 and 1,075.18

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Solution

The fourth proportional to 3,672.28, 5,509.38 and 1,075.18 is: 1,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.28 : 5,509.38 = 1,075.18 : x
  2. Step 2: Convert to fraction form
    3,672.28/5,509.38 = 1,075.18/x
  3. Step 3: Cross multiply
    3,672.28x = 5,509.38 × 1,075.18
  4. Step 4: Simplify right side
    3,672.28x = 5,923,575.19
  5. Step 5: Solve for x
    x = 5,923,575.19/3,672.28
  6. Step 6: Final answer
    x = 1,613.05

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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.