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Finding the Fourth Proportional to 3,514.92, 5,271.16 and 2,207.98

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Solution

The fourth proportional to 3,514.92, 5,271.16 and 2,207.98 is: 3,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.92 : 5,271.16 = 2,207.98 : x
  2. Step 2: Convert to fraction form
    3,514.92/5,271.16 = 2,207.98/x
  3. Step 3: Cross multiply
    3,514.92x = 5,271.16 × 2,207.98
  4. Step 4: Simplify right side
    3,514.92x = 11,638,615.86
  5. Step 5: Solve for x
    x = 11,638,615.86/3,514.92
  6. Step 6: Final answer
    x = 3,311.20

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