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Finding the Fourth Proportional to 5,273.48, 7,905.52 and 2,498.42

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Solution

The fourth proportional to 5,273.48, 7,905.52 and 2,498.42 is: 3,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.48 : 7,905.52 = 2,498.42 : x
  2. Step 2: Convert to fraction form
    5,273.48/7,905.52 = 2,498.42/x
  3. Step 3: Cross multiply
    5,273.48x = 7,905.52 × 2,498.42
  4. Step 4: Simplify right side
    5,273.48x = 19,751,309.28
  5. Step 5: Solve for x
    x = 19,751,309.28/5,273.48
  6. Step 6: Final answer
    x = 3,745.40

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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.