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Finding the Fourth Proportional to 3,384.10, 5,075.97 and 1,075.42

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Solution

The fourth proportional to 3,384.10, 5,075.97 and 1,075.42 is: 1,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.10 : 5,075.97 = 1,075.42 : x
  2. Step 2: Convert to fraction form
    3,384.10/5,075.97 = 1,075.42/x
  3. Step 3: Cross multiply
    3,384.10x = 5,075.97 × 1,075.42
  4. Step 4: Simplify right side
    3,384.10x = 5,458,799.66
  5. Step 5: Solve for x
    x = 5,458,799.66/3,384.10
  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.