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Finding the Fourth Proportional to 8,389.44, 12,585.78 and 2,546.91

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Solution

The fourth proportional to 8,389.44, 12,585.78 and 2,546.91 is: 3,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.44 : 12,585.78 = 2,546.91 : x
  2. Step 2: Convert to fraction form
    8,389.44/12,585.78 = 2,546.91/x
  3. Step 3: Cross multiply
    8,389.44x = 12,585.78 × 2,546.91
  4. Step 4: Simplify right side
    8,389.44x = 32,054,848.94
  5. Step 5: Solve for x
    x = 32,054,848.94/8,389.44
  6. Step 6: Final answer
    x = 3,820.86

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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.