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Finding the Fourth Proportional to 5,872.08, 8,809.50 and 2,585.44

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Solution

The fourth proportional to 5,872.08, 8,809.50 and 2,585.44 is: 3,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.08 : 8,809.50 = 2,585.44 : x
  2. Step 2: Convert to fraction form
    5,872.08/8,809.50 = 2,585.44/x
  3. Step 3: Cross multiply
    5,872.08x = 8,809.50 × 2,585.44
  4. Step 4: Simplify right side
    5,872.08x = 22,776,433.68
  5. Step 5: Solve for x
    x = 22,776,433.68/5,872.08
  6. Step 6: Final answer
    x = 3,878.77

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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.