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Finding the Fourth Proportional to 3,384.50, 5,075.67 and 1,075.46

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Solution

The fourth proportional to 3,384.50, 5,075.67 and 1,075.46 is: 1,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.50 : 5,075.67 = 1,075.46 : x
  2. Step 2: Convert to fraction form
    3,384.50/5,075.67 = 1,075.46/x
  3. Step 3: Cross multiply
    3,384.50x = 5,075.67 × 1,075.46
  4. Step 4: Simplify right side
    3,384.50x = 5,458,680.06
  5. Step 5: Solve for x
    x = 5,458,680.06/3,384.50
  6. Step 6: Final answer
    x = 1,612.85

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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.