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Finding the Fourth Proportional to 3,514.62, 5,270.18 and 1,173.80

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Solution

The fourth proportional to 3,514.62, 5,270.18 and 1,173.80 is: 1,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.62 : 5,270.18 = 1,173.80 : x
  2. Step 2: Convert to fraction form
    3,514.62/5,270.18 = 1,173.80/x
  3. Step 3: Cross multiply
    3,514.62x = 5,270.18 × 1,173.80
  4. Step 4: Simplify right side
    3,514.62x = 6,186,137.28
  5. Step 5: Solve for x
    x = 6,186,137.28/3,514.62
  6. Step 6: Final answer
    x = 1,760.12

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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.