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Finding the Fourth Proportional to 3,674.16, 5,514.48 and 3,097.44

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Solution

The fourth proportional to 3,674.16, 5,514.48 and 3,097.44 is: 4,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.16 : 5,514.48 = 3,097.44 : x
  2. Step 2: Convert to fraction form
    3,674.16/5,514.48 = 3,097.44/x
  3. Step 3: Cross multiply
    3,674.16x = 5,514.48 × 3,097.44
  4. Step 4: Simplify right side
    3,674.16x = 17,080,770.93
  5. Step 5: Solve for x
    x = 17,080,770.93/3,674.16
  6. Step 6: Final answer
    x = 4,648.89

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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.