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Finding the Fourth Proportional to 5,330, 7,995.90 and 1,819.64

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Solution

The fourth proportional to 5,330, 7,995.90 and 1,819.64 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330 : 7,995.90 = 1,819.64 : x
  2. Step 2: Convert to fraction form
    5,330/7,995.90 = 1,819.64/x
  3. Step 3: Cross multiply
    5,330x = 7,995.90 × 1,819.64
  4. Step 4: Simplify right side
    5,330x = 14,549,659.48
  5. Step 5: Solve for x
    x = 14,549,659.48/5,330
  6. Step 6: Final answer
    x = 2,729.77

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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.