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Finding the Fourth Proportional to 4,610.96, 6,914.27 and 1,687.22

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Solution

The fourth proportional to 4,610.96, 6,914.27 and 1,687.22 is: 2,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.96 : 6,914.27 = 1,687.22 : x
  2. Step 2: Convert to fraction form
    4,610.96/6,914.27 = 1,687.22/x
  3. Step 3: Cross multiply
    4,610.96x = 6,914.27 × 1,687.22
  4. Step 4: Simplify right side
    4,610.96x = 11,665,894.63
  5. Step 5: Solve for x
    x = 11,665,894.63/4,610.96
  6. Step 6: Final answer
    x = 2,530.04

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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.