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Finding the Fourth Proportional to 4,680.96, 6,459.24 and 2,912.76

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Solution

The fourth proportional to 4,680.96, 6,459.24 and 2,912.76 is: 4,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.96 : 6,459.24 = 2,912.76 : x
  2. Step 2: Convert to fraction form
    4,680.96/6,459.24 = 2,912.76/x
  3. Step 3: Cross multiply
    4,680.96x = 6,459.24 × 2,912.76
  4. Step 4: Simplify right side
    4,680.96x = 18,814,215.90
  5. Step 5: Solve for x
    x = 18,814,215.90/4,680.96
  6. Step 6: Final answer
    x = 4,019.31

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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.