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Finding the Fourth Proportional to 3,484.72, 5,199.98 and 3,174.24

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Solution

The fourth proportional to 3,484.72, 5,199.98 and 3,174.24 is: 4,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.72 : 5,199.98 = 3,174.24 : x
  2. Step 2: Convert to fraction form
    3,484.72/5,199.98 = 3,174.24/x
  3. Step 3: Cross multiply
    3,484.72x = 5,199.98 × 3,174.24
  4. Step 4: Simplify right side
    3,484.72x = 16,505,984.52
  5. Step 5: Solve for x
    x = 16,505,984.52/3,484.72
  6. Step 6: Final answer
    x = 4,736.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.