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Finding the Fourth Proportional to 4,682.92, 6,470.34 and 3,625

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Solution

The fourth proportional to 4,682.92, 6,470.34 and 3,625 is: 5,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.92 : 6,470.34 = 3,625 : x
  2. Step 2: Convert to fraction form
    4,682.92/6,470.34 = 3,625/x
  3. Step 3: Cross multiply
    4,682.92x = 6,470.34 × 3,625
  4. Step 4: Simplify right side
    4,682.92x = 23,454,982.50
  5. Step 5: Solve for x
    x = 23,454,982.50/4,682.92
  6. Step 6: Final answer
    x = 5,008.62

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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.