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Finding the Fourth Proportional to 4,072.72, 5,620.98 and 2,394.22

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Solution

The fourth proportional to 4,072.72, 5,620.98 and 2,394.22 is: 3,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.72 : 5,620.98 = 2,394.22 : x
  2. Step 2: Convert to fraction form
    4,072.72/5,620.98 = 2,394.22/x
  3. Step 3: Cross multiply
    4,072.72x = 5,620.98 × 2,394.22
  4. Step 4: Simplify right side
    4,072.72x = 13,457,862.74
  5. Step 5: Solve for x
    x = 13,457,862.74/4,072.72
  6. Step 6: Final answer
    x = 3,304.39

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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.