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Finding the Fourth Proportional to 5,523.84, 8,283.96 and 1,825.38

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Solution

The fourth proportional to 5,523.84, 8,283.96 and 1,825.38 is: 2,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.84 : 8,283.96 = 1,825.38 : x
  2. Step 2: Convert to fraction form
    5,523.84/8,283.96 = 1,825.38/x
  3. Step 3: Cross multiply
    5,523.84x = 8,283.96 × 1,825.38
  4. Step 4: Simplify right side
    5,523.84x = 15,121,374.90
  5. Step 5: Solve for x
    x = 15,121,374.90/5,523.84
  6. Step 6: Final answer
    x = 2,737.48

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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.