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Finding the Fourth Proportional to 3,297.11, 4,946.15 and 1,075.22

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Solution

The fourth proportional to 3,297.11, 4,946.15 and 1,075.22 is: 1,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.11 : 4,946.15 = 1,075.22 : x
  2. Step 2: Convert to fraction form
    3,297.11/4,946.15 = 1,075.22/x
  3. Step 3: Cross multiply
    3,297.11x = 4,946.15 × 1,075.22
  4. Step 4: Simplify right side
    3,297.11x = 5,318,169.30
  5. Step 5: Solve for x
    x = 5,318,169.30/3,297.11
  6. Step 6: Final answer
    x = 1,612.98

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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.