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Finding the Fourth Proportional to 3,266.87, 4,898.27 and 1,075.01

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Solution

The fourth proportional to 3,266.87, 4,898.27 and 1,075.01 is: 1,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.87 : 4,898.27 = 1,075.01 : x
  2. Step 2: Convert to fraction form
    3,266.87/4,898.27 = 1,075.01/x
  3. Step 3: Cross multiply
    3,266.87x = 4,898.27 × 1,075.01
  4. Step 4: Simplify right side
    3,266.87x = 5,265,689.23
  5. Step 5: Solve for x
    x = 5,265,689.23/3,266.87
  6. Step 6: Final answer
    x = 1,611.85

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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.