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Finding the Fourth Proportional to 4,664.82, 6,438.06 and 2,674.99

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Solution

The fourth proportional to 4,664.82, 6,438.06 and 2,674.99 is: 3,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.82 : 6,438.06 = 2,674.99 : x
  2. Step 2: Convert to fraction form
    4,664.82/6,438.06 = 2,674.99/x
  3. Step 3: Cross multiply
    4,664.82x = 6,438.06 × 2,674.99
  4. Step 4: Simplify right side
    4,664.82x = 17,221,730.02
  5. Step 5: Solve for x
    x = 17,221,730.02/4,664.82
  6. Step 6: Final answer
    x = 3,691.83

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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.