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Finding the Fourth Proportional to 3,673.28, 5,509.20 and 1,075.52

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Solution

The fourth proportional to 3,673.28, 5,509.20 and 1,075.52 is: 1,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.28 : 5,509.20 = 1,075.52 : x
  2. Step 2: Convert to fraction form
    3,673.28/5,509.20 = 1,075.52/x
  3. Step 3: Cross multiply
    3,673.28x = 5,509.20 × 1,075.52
  4. Step 4: Simplify right side
    3,673.28x = 5,925,254.78
  5. Step 5: Solve for x
    x = 5,925,254.78/3,673.28
  6. Step 6: Final answer
    x = 1,613.07

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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.