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Finding the Fourth Proportional to 5,514.24, 8,271.24 and 3,323.48

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Solution

The fourth proportional to 5,514.24, 8,271.24 and 3,323.48 is: 4,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.24 : 8,271.24 = 3,323.48 : x
  2. Step 2: Convert to fraction form
    5,514.24/8,271.24 = 3,323.48/x
  3. Step 3: Cross multiply
    5,514.24x = 8,271.24 × 3,323.48
  4. Step 4: Simplify right side
    5,514.24x = 27,489,300.72
  5. Step 5: Solve for x
    x = 27,489,300.72/5,514.24
  6. Step 6: Final answer
    x = 4,985.15

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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.