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Finding the Fourth Proportional to 5,474.96, 8,210.04 and 3,397.44

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Solution

The fourth proportional to 5,474.96, 8,210.04 and 3,397.44 is: 5,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.96 : 8,210.04 = 3,397.44 : x
  2. Step 2: Convert to fraction form
    5,474.96/8,210.04 = 3,397.44/x
  3. Step 3: Cross multiply
    5,474.96x = 8,210.04 × 3,397.44
  4. Step 4: Simplify right side
    5,474.96x = 27,893,118.30
  5. Step 5: Solve for x
    x = 27,893,118.30/5,474.96
  6. Step 6: Final answer
    x = 5,094.67

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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.