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Finding the Fourth Proportional to 3,367.04, 5,042 and 2,817.84

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Solution

The fourth proportional to 3,367.04, 5,042 and 2,817.84 is: 4,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.04 : 5,042 = 2,817.84 : x
  2. Step 2: Convert to fraction form
    3,367.04/5,042 = 2,817.84/x
  3. Step 3: Cross multiply
    3,367.04x = 5,042 × 2,817.84
  4. Step 4: Simplify right side
    3,367.04x = 14,207,549.28
  5. Step 5: Solve for x
    x = 14,207,549.28/3,367.04
  6. Step 6: Final answer
    x = 4,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.