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Finding the Fourth Proportional to 5,320.92, 7,981.38 and 2,546.40

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Solution

The fourth proportional to 5,320.92, 7,981.38 and 2,546.40 is: 3,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.92 : 7,981.38 = 2,546.40 : x
  2. Step 2: Convert to fraction form
    5,320.92/7,981.38 = 2,546.40/x
  3. Step 3: Cross multiply
    5,320.92x = 7,981.38 × 2,546.40
  4. Step 4: Simplify right side
    5,320.92x = 20,323,786.03
  5. Step 5: Solve for x
    x = 20,323,786.03/5,320.92
  6. Step 6: Final answer
    x = 3,819.60

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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.