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Finding the Fourth Proportional to 4,609.41, 6,363.11 and 2,842.04

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Solution

The fourth proportional to 4,609.41, 6,363.11 and 2,842.04 is: 3,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.41 : 6,363.11 = 2,842.04 : x
  2. Step 2: Convert to fraction form
    4,609.41/6,363.11 = 2,842.04/x
  3. Step 3: Cross multiply
    4,609.41x = 6,363.11 × 2,842.04
  4. Step 4: Simplify right side
    4,609.41x = 18,084,184.38
  5. Step 5: Solve for x
    x = 18,084,184.38/4,609.41
  6. Step 6: Final answer
    x = 3,923.32

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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.