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Finding the Fourth Proportional to 5,203.67, 7,805.45 and 2,084.45

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Solution

The fourth proportional to 5,203.67, 7,805.45 and 2,084.45 is: 3,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.67 : 7,805.45 = 2,084.45 : x
  2. Step 2: Convert to fraction form
    5,203.67/7,805.45 = 2,084.45/x
  3. Step 3: Cross multiply
    5,203.67x = 7,805.45 × 2,084.45
  4. Step 4: Simplify right side
    5,203.67x = 16,270,020.80
  5. Step 5: Solve for x
    x = 16,270,020.80/5,203.67
  6. Step 6: Final answer
    x = 3,126.65

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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.