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Finding the Fourth Proportional to 4,944.48, 7,416 and 2,751.84

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Solution

The fourth proportional to 4,944.48, 7,416 and 2,751.84 is: 4,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.48 : 7,416 = 2,751.84 : x
  2. Step 2: Convert to fraction form
    4,944.48/7,416 = 2,751.84/x
  3. Step 3: Cross multiply
    4,944.48x = 7,416 × 2,751.84
  4. Step 4: Simplify right side
    4,944.48x = 20,407,645.44
  5. Step 5: Solve for x
    x = 20,407,645.44/4,944.48
  6. Step 6: Final answer
    x = 4,127.36

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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.