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Finding the Fourth Proportional to 5,872.56, 8,797.32 and 2,577.84

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Solution

The fourth proportional to 5,872.56, 8,797.32 and 2,577.84 is: 3,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.56 : 8,797.32 = 2,577.84 : x
  2. Step 2: Convert to fraction form
    5,872.56/8,797.32 = 2,577.84/x
  3. Step 3: Cross multiply
    5,872.56x = 8,797.32 × 2,577.84
  4. Step 4: Simplify right side
    5,872.56x = 22,678,083.39
  5. Step 5: Solve for x
    x = 22,678,083.39/5,872.56
  6. Step 6: Final answer
    x = 3,861.70

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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.