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Finding the Fourth Proportional to 3,514.80, 5,242.14 and 3,390.96

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Solution

The fourth proportional to 3,514.80, 5,242.14 and 3,390.96 is: 5,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.80 : 5,242.14 = 3,390.96 : x
  2. Step 2: Convert to fraction form
    3,514.80/5,242.14 = 3,390.96/x
  3. Step 3: Cross multiply
    3,514.80x = 5,242.14 × 3,390.96
  4. Step 4: Simplify right side
    3,514.80x = 17,775,887.05
  5. Step 5: Solve for x
    x = 17,775,887.05/3,514.80
  6. Step 6: Final answer
    x = 5,057.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.