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Finding the Fourth Proportional to 5,167.18, 7,745.10 and 2,242

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Solution

The fourth proportional to 5,167.18, 7,745.10 and 2,242 is: 3,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.18 : 7,745.10 = 2,242 : x
  2. Step 2: Convert to fraction form
    5,167.18/7,745.10 = 2,242/x
  3. Step 3: Cross multiply
    5,167.18x = 7,745.10 × 2,242
  4. Step 4: Simplify right side
    5,167.18x = 17,364,514.20
  5. Step 5: Solve for x
    x = 17,364,514.20/5,167.18
  6. Step 6: Final answer
    x = 3,360.54

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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.