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Finding the Fourth Proportional to 4,742.40, 6,546.36 and 3,169.92

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Solution

The fourth proportional to 4,742.40, 6,546.36 and 3,169.92 is: 4,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.40 : 6,546.36 = 3,169.92 : x
  2. Step 2: Convert to fraction form
    4,742.40/6,546.36 = 3,169.92/x
  3. Step 3: Cross multiply
    4,742.40x = 6,546.36 × 3,169.92
  4. Step 4: Simplify right side
    4,742.40x = 20,751,437.49
  5. Step 5: Solve for x
    x = 20,751,437.49/4,742.40
  6. Step 6: Final answer
    x = 4,375.72

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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.