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Finding the Fourth Proportional to 4,944.08, 7,414.20 and 3,653.84

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Solution

The fourth proportional to 4,944.08, 7,414.20 and 3,653.84 is: 5,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.08 : 7,414.20 = 3,653.84 : x
  2. Step 2: Convert to fraction form
    4,944.08/7,414.20 = 3,653.84/x
  3. Step 3: Cross multiply
    4,944.08x = 7,414.20 × 3,653.84
  4. Step 4: Simplify right side
    4,944.08x = 27,090,300.53
  5. Step 5: Solve for x
    x = 27,090,300.53/4,944.08
  6. Step 6: Final answer
    x = 5,479.34

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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.