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Finding the Fourth Proportional to 3,283.84, 4,536.12 and 3,050.56

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Solution

The fourth proportional to 3,283.84, 4,536.12 and 3,050.56 is: 4,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.84 : 4,536.12 = 3,050.56 : x
  2. Step 2: Convert to fraction form
    3,283.84/4,536.12 = 3,050.56/x
  3. Step 3: Cross multiply
    3,283.84x = 4,536.12 × 3,050.56
  4. Step 4: Simplify right side
    3,283.84x = 13,837,706.23
  5. Step 5: Solve for x
    x = 13,837,706.23/3,283.84
  6. Step 6: Final answer
    x = 4,213.88

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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.