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Finding the Fourth Proportional to 3,266.28, 4,900.14 and 1,075.14

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Solution

The fourth proportional to 3,266.28, 4,900.14 and 1,075.14 is: 1,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.28 : 4,900.14 = 1,075.14 : x
  2. Step 2: Convert to fraction form
    3,266.28/4,900.14 = 1,075.14/x
  3. Step 3: Cross multiply
    3,266.28x = 4,900.14 × 1,075.14
  4. Step 4: Simplify right side
    3,266.28x = 5,268,336.52
  5. Step 5: Solve for x
    x = 5,268,336.52/3,266.28
  6. Step 6: Final answer
    x = 1,612.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.