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Finding the Fourth Proportional to 5,042.01, 7,563 and 1,344.25

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Solution

The fourth proportional to 5,042.01, 7,563 and 1,344.25 is: 2,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.01 : 7,563 = 1,344.25 : x
  2. Step 2: Convert to fraction form
    5,042.01/7,563 = 1,344.25/x
  3. Step 3: Cross multiply
    5,042.01x = 7,563 × 1,344.25
  4. Step 4: Simplify right side
    5,042.01x = 10,166,562.75
  5. Step 5: Solve for x
    x = 10,166,562.75/5,042.01
  6. Step 6: Final answer
    x = 2,016.37

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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.