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Finding the Fourth Proportional to 4,669.38, 6,438.06 and 3,254.31

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Solution

The fourth proportional to 4,669.38, 6,438.06 and 3,254.31 is: 4,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.38 : 6,438.06 = 3,254.31 : x
  2. Step 2: Convert to fraction form
    4,669.38/6,438.06 = 3,254.31/x
  3. Step 3: Cross multiply
    4,669.38x = 6,438.06 × 3,254.31
  4. Step 4: Simplify right side
    4,669.38x = 20,951,443.04
  5. Step 5: Solve for x
    x = 20,951,443.04/4,669.38
  6. Step 6: Final answer
    x = 4,486.99

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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.