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Finding the Fourth Proportional to 4,474.88, 6,703.68 and 3,749.12

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Solution

The fourth proportional to 4,474.88, 6,703.68 and 3,749.12 is: 5,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.88 : 6,703.68 = 3,749.12 : x
  2. Step 2: Convert to fraction form
    4,474.88/6,703.68 = 3,749.12/x
  3. Step 3: Cross multiply
    4,474.88x = 6,703.68 × 3,749.12
  4. Step 4: Simplify right side
    4,474.88x = 25,132,900.76
  5. Step 5: Solve for x
    x = 25,132,900.76/4,474.88
  6. Step 6: Final answer
    x = 5,616.44

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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.