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Finding the Fourth Proportional to 5,836.36, 8,744.64 and 3,523

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Solution

The fourth proportional to 5,836.36, 8,744.64 and 3,523 is: 5,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.36 : 8,744.64 = 3,523 : x
  2. Step 2: Convert to fraction form
    5,836.36/8,744.64 = 3,523/x
  3. Step 3: Cross multiply
    5,836.36x = 8,744.64 × 3,523
  4. Step 4: Simplify right side
    5,836.36x = 30,807,366.72
  5. Step 5: Solve for x
    x = 30,807,366.72/5,836.36
  6. Step 6: Final answer
    x = 5,278.52

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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.