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Finding the Fourth Proportional to 5,355.64, 8,013.90 and 5,226.04

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Solution

The fourth proportional to 5,355.64, 8,013.90 and 5,226.04 is: 7,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.64 : 8,013.90 = 5,226.04 : x
  2. Step 2: Convert to fraction form
    5,355.64/8,013.90 = 5,226.04/x
  3. Step 3: Cross multiply
    5,355.64x = 8,013.90 × 5,226.04
  4. Step 4: Simplify right side
    5,355.64x = 41,880,961.96
  5. Step 5: Solve for x
    x = 41,880,961.96/5,355.64
  6. Step 6: Final answer
    x = 7,819.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.