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Finding the Fourth Proportional to 5,732.25, 8,599.82 and 1,628.25

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Solution

The fourth proportional to 5,732.25, 8,599.82 and 1,628.25 is: 2,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.25 : 8,599.82 = 1,628.25 : x
  2. Step 2: Convert to fraction form
    5,732.25/8,599.82 = 1,628.25/x
  3. Step 3: Cross multiply
    5,732.25x = 8,599.82 × 1,628.25
  4. Step 4: Simplify right side
    5,732.25x = 14,002,648.77
  5. Step 5: Solve for x
    x = 14,002,648.77/5,732.25
  6. Step 6: Final answer
    x = 2,442.78

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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.