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Finding the Fourth Proportional to 4,682.06, 6,462.53 and 2,912.61

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Solution

The fourth proportional to 4,682.06, 6,462.53 and 2,912.61 is: 4,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.06 : 6,462.53 = 2,912.61 : x
  2. Step 2: Convert to fraction form
    4,682.06/6,462.53 = 2,912.61/x
  3. Step 3: Cross multiply
    4,682.06x = 6,462.53 × 2,912.61
  4. Step 4: Simplify right side
    4,682.06x = 18,822,829.50
  5. Step 5: Solve for x
    x = 18,822,829.50/4,682.06
  6. Step 6: Final answer
    x = 4,020.20

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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.