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Finding the Fourth Proportional to 3,514.69, 5,270.58 and 1,322.20

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Solution

The fourth proportional to 3,514.69, 5,270.58 and 1,322.20 is: 1,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.69 : 5,270.58 = 1,322.20 : x
  2. Step 2: Convert to fraction form
    3,514.69/5,270.58 = 1,322.20/x
  3. Step 3: Cross multiply
    3,514.69x = 5,270.58 × 1,322.20
  4. Step 4: Simplify right side
    3,514.69x = 6,968,760.88
  5. Step 5: Solve for x
    x = 6,968,760.88/3,514.69
  6. Step 6: Final answer
    x = 1,982.75

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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.