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Finding the Fourth Proportional to 5,326.33, 7,991.06 and 1,578.20

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Solution

The fourth proportional to 5,326.33, 7,991.06 and 1,578.20 is: 2,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.33 : 7,991.06 = 1,578.20 : x
  2. Step 2: Convert to fraction form
    5,326.33/7,991.06 = 1,578.20/x
  3. Step 3: Cross multiply
    5,326.33x = 7,991.06 × 1,578.20
  4. Step 4: Simplify right side
    5,326.33x = 12,611,490.89
  5. Step 5: Solve for x
    x = 12,611,490.89/5,326.33
  6. Step 6: Final answer
    x = 2,367.76

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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.