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Finding the Fourth Proportional to 4,323.54, 5,964.72 and 2,729.64

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Solution

The fourth proportional to 4,323.54, 5,964.72 and 2,729.64 is: 3,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.54 : 5,964.72 = 2,729.64 : x
  2. Step 2: Convert to fraction form
    4,323.54/5,964.72 = 2,729.64/x
  3. Step 3: Cross multiply
    4,323.54x = 5,964.72 × 2,729.64
  4. Step 4: Simplify right side
    4,323.54x = 16,281,538.30
  5. Step 5: Solve for x
    x = 16,281,538.30/4,323.54
  6. Step 6: Final answer
    x = 3,765.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.