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Finding the Fourth Proportional to 4,634.31, 6,984.03 and 4,172.61

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Solution

The fourth proportional to 4,634.31, 6,984.03 and 4,172.61 is: 6,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.31 : 6,984.03 = 4,172.61 : x
  2. Step 2: Convert to fraction form
    4,634.31/6,984.03 = 4,172.61/x
  3. Step 3: Cross multiply
    4,634.31x = 6,984.03 × 4,172.61
  4. Step 4: Simplify right side
    4,634.31x = 29,141,633.42
  5. Step 5: Solve for x
    x = 29,141,633.42/4,634.31
  6. Step 6: Final answer
    x = 6,288.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.