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Finding the Fourth Proportional to 4,322, 5,964.64 and 2,459

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Solution

The fourth proportional to 4,322, 5,964.64 and 2,459 is: 3,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322 : 5,964.64 = 2,459 : x
  2. Step 2: Convert to fraction form
    4,322/5,964.64 = 2,459/x
  3. Step 3: Cross multiply
    4,322x = 5,964.64 × 2,459
  4. Step 4: Simplify right side
    4,322x = 14,667,049.76
  5. Step 5: Solve for x
    x = 14,667,049.76/4,322
  6. Step 6: Final answer
    x = 3,393.58

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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.