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Finding the Fourth Proportional to 3,785.52, 5,678.28 and 2,241.84

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Solution

The fourth proportional to 3,785.52, 5,678.28 and 2,241.84 is: 3,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.52 : 5,678.28 = 2,241.84 : x
  2. Step 2: Convert to fraction form
    3,785.52/5,678.28 = 2,241.84/x
  3. Step 3: Cross multiply
    3,785.52x = 5,678.28 × 2,241.84
  4. Step 4: Simplify right side
    3,785.52x = 12,729,795.24
  5. Step 5: Solve for x
    x = 12,729,795.24/3,785.52
  6. Step 6: Final answer
    x = 3,362.76

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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.