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Finding the Fourth Proportional to 4,364.44, 6,546.80 and 1,732.43

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Solution

The fourth proportional to 4,364.44, 6,546.80 and 1,732.43 is: 2,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.44 : 6,546.80 = 1,732.43 : x
  2. Step 2: Convert to fraction form
    4,364.44/6,546.80 = 1,732.43/x
  3. Step 3: Cross multiply
    4,364.44x = 6,546.80 × 1,732.43
  4. Step 4: Simplify right side
    4,364.44x = 11,341,893.42
  5. Step 5: Solve for x
    x = 11,341,893.42/4,364.44
  6. Step 6: Final answer
    x = 2,598.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.