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Finding the Fourth Proportional to 4,322.44, 5,964.42 and 2,459.44

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Solution

The fourth proportional to 4,322.44, 5,964.42 and 2,459.44 is: 3,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.44 : 5,964.42 = 2,459.44 : x
  2. Step 2: Convert to fraction form
    4,322.44/5,964.42 = 2,459.44/x
  3. Step 3: Cross multiply
    4,322.44x = 5,964.42 × 2,459.44
  4. Step 4: Simplify right side
    4,322.44x = 14,669,133.12
  5. Step 5: Solve for x
    x = 14,669,133.12/4,322.44
  6. Step 6: Final answer
    x = 3,393.72

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