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Finding the Fourth Proportional to 4,313.99, 6,474.24 and 3,458.63

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Solution

The fourth proportional to 4,313.99, 6,474.24 and 3,458.63 is: 5,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.99 : 6,474.24 = 3,458.63 : x
  2. Step 2: Convert to fraction form
    4,313.99/6,474.24 = 3,458.63/x
  3. Step 3: Cross multiply
    4,313.99x = 6,474.24 × 3,458.63
  4. Step 4: Simplify right side
    4,313.99x = 22,392,000.69
  5. Step 5: Solve for x
    x = 22,392,000.69/4,313.99
  6. Step 6: Final answer
    x = 5,190.55

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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.