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Finding the Fourth Proportional to 4,965.72, 7,450.74 and 3,429.24

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Solution

The fourth proportional to 4,965.72, 7,450.74 and 3,429.24 is: 5,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.72 : 7,450.74 = 3,429.24 : x
  2. Step 2: Convert to fraction form
    4,965.72/7,450.74 = 3,429.24/x
  3. Step 3: Cross multiply
    4,965.72x = 7,450.74 × 3,429.24
  4. Step 4: Simplify right side
    4,965.72x = 25,550,375.64
  5. Step 5: Solve for x
    x = 25,550,375.64/4,965.72
  6. Step 6: Final answer
    x = 5,145.35

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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.