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Finding the Fourth Proportional to 5,283.50, 7,926.33 and 2,205.50

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Solution

The fourth proportional to 5,283.50, 7,926.33 and 2,205.50 is: 3,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.50 : 7,926.33 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    5,283.50/7,926.33 = 2,205.50/x
  3. Step 3: Cross multiply
    5,283.50x = 7,926.33 × 2,205.50
  4. Step 4: Simplify right side
    5,283.50x = 17,481,520.82
  5. Step 5: Solve for x
    x = 17,481,520.82/5,283.50
  6. Step 6: Final answer
    x = 3,308.70

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1.5x scale

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.