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Finding the Fourth Proportional to 3,775.49, 5,663.76 and 2,194.95

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Solution

The fourth proportional to 3,775.49, 5,663.76 and 2,194.95 is: 3,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.49 : 5,663.76 = 2,194.95 : x
  2. Step 2: Convert to fraction form
    3,775.49/5,663.76 = 2,194.95/x
  3. Step 3: Cross multiply
    3,775.49x = 5,663.76 × 2,194.95
  4. Step 4: Simplify right side
    3,775.49x = 12,431,670.01
  5. Step 5: Solve for x
    x = 12,431,670.01/3,775.49
  6. Step 6: Final answer
    x = 3,292.73

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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.