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Finding the Fourth Proportional to 4,664.79, 6,435.15 and 2,674.82

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Solution

The fourth proportional to 4,664.79, 6,435.15 and 2,674.82 is: 3,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.79 : 6,435.15 = 2,674.82 : x
  2. Step 2: Convert to fraction form
    4,664.79/6,435.15 = 2,674.82/x
  3. Step 3: Cross multiply
    4,664.79x = 6,435.15 × 2,674.82
  4. Step 4: Simplify right side
    4,664.79x = 17,212,873.98
  5. Step 5: Solve for x
    x = 17,212,873.98/4,664.79
  6. Step 6: Final answer
    x = 3,689.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.