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Finding the Fourth Proportional to 4,312.96, 6,469.14 and 2,120.96

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Solution

The fourth proportional to 4,312.96, 6,469.14 and 2,120.96 is: 3,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.96 : 6,469.14 = 2,120.96 : x
  2. Step 2: Convert to fraction form
    4,312.96/6,469.14 = 2,120.96/x
  3. Step 3: Cross multiply
    4,312.96x = 6,469.14 × 2,120.96
  4. Step 4: Simplify right side
    4,312.96x = 13,720,787.17
  5. Step 5: Solve for x
    x = 13,720,787.17/4,312.96
  6. Step 6: Final answer
    x = 3,181.29

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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.