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Finding the Fourth Proportional to 8,546.50, 12,819.75 and 2,390.50

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Solution

The fourth proportional to 8,546.50, 12,819.75 and 2,390.50 is: 3,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.50 : 12,819.75 = 2,390.50 : x
  2. Step 2: Convert to fraction form
    8,546.50/12,819.75 = 2,390.50/x
  3. Step 3: Cross multiply
    8,546.50x = 12,819.75 × 2,390.50
  4. Step 4: Simplify right side
    8,546.50x = 30,645,612.38
  5. Step 5: Solve for x
    x = 30,645,612.38/8,546.50
  6. Step 6: Final answer
    x = 3,585.75

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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.