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Finding the Fourth Proportional to 3,753.84, 5,180.22 and 2,075.22

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Solution

The fourth proportional to 3,753.84, 5,180.22 and 2,075.22 is: 2,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,180.22 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,180.22 = 2,075.22/x
  3. Step 3: Cross multiply
    3,753.84x = 5,180.22 × 2,075.22
  4. Step 4: Simplify right side
    3,753.84x = 10,750,096.15
  5. Step 5: Solve for x
    x = 10,750,096.15/3,753.84
  6. Step 6: Final answer
    x = 2,863.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.