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Finding the Fourth Proportional to 5,825.77, 8,738.72 and 1,443.22

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Solution

The fourth proportional to 5,825.77, 8,738.72 and 1,443.22 is: 2,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.77 : 8,738.72 = 1,443.22 : x
  2. Step 2: Convert to fraction form
    5,825.77/8,738.72 = 1,443.22/x
  3. Step 3: Cross multiply
    5,825.77x = 8,738.72 × 1,443.22
  4. Step 4: Simplify right side
    5,825.77x = 12,611,895.48
  5. Step 5: Solve for x
    x = 12,611,895.48/5,825.77
  6. Step 6: Final answer
    x = 2,164.85

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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.