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Finding the Fourth Proportional to 3,575.53, 5,359.32 and 1,382.44

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Solution

The fourth proportional to 3,575.53, 5,359.32 and 1,382.44 is: 2,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.53 : 5,359.32 = 1,382.44 : x
  2. Step 2: Convert to fraction form
    3,575.53/5,359.32 = 1,382.44/x
  3. Step 3: Cross multiply
    3,575.53x = 5,359.32 × 1,382.44
  4. Step 4: Simplify right side
    3,575.53x = 7,408,938.34
  5. Step 5: Solve for x
    x = 7,408,938.34/3,575.53
  6. Step 6: Final answer
    x = 2,072.12

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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.