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Finding the Fourth Proportional to 3,266.53, 4,901.01 and 1,075.28

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Solution

The fourth proportional to 3,266.53, 4,901.01 and 1,075.28 is: 1,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.53 : 4,901.01 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    3,266.53/4,901.01 = 1,075.28/x
  3. Step 3: Cross multiply
    3,266.53x = 4,901.01 × 1,075.28
  4. Step 4: Simplify right side
    3,266.53x = 5,269,929.50
  5. Step 5: Solve for x
    x = 5,269,929.50/3,266.53
  6. Step 6: Final answer
    x = 1,613.31

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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.