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Finding the Fourth Proportional to 3,584.89, 5,376.72 and 952.42

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Solution

The fourth proportional to 3,584.89, 5,376.72 and 952.42 is: 1,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.89 : 5,376.72 = 952.42 : x
  2. Step 2: Convert to fraction form
    3,584.89/5,376.72 = 952.42/x
  3. Step 3: Cross multiply
    3,584.89x = 5,376.72 × 952.42
  4. Step 4: Simplify right side
    3,584.89x = 5,120,895.66
  5. Step 5: Solve for x
    x = 5,120,895.66/3,584.89
  6. Step 6: Final answer
    x = 1,428.47

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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.