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Finding the Fourth Proportional to 4,350.96, 6,011.28 and 3,474

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Solution

The fourth proportional to 4,350.96, 6,011.28 and 3,474 is: 4,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.96 : 6,011.28 = 3,474 : x
  2. Step 2: Convert to fraction form
    4,350.96/6,011.28 = 3,474/x
  3. Step 3: Cross multiply
    4,350.96x = 6,011.28 × 3,474
  4. Step 4: Simplify right side
    4,350.96x = 20,883,186.72
  5. Step 5: Solve for x
    x = 20,883,186.72/4,350.96
  6. Step 6: Final answer
    x = 4,799.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.