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Finding the Fourth Proportional to 5,398.49, 7,451.30 and 3,514.78

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Solution

The fourth proportional to 5,398.49, 7,451.30 and 3,514.78 is: 4,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.49 : 7,451.30 = 3,514.78 : x
  2. Step 2: Convert to fraction form
    5,398.49/7,451.30 = 3,514.78/x
  3. Step 3: Cross multiply
    5,398.49x = 7,451.30 × 3,514.78
  4. Step 4: Simplify right side
    5,398.49x = 26,189,680.21
  5. Step 5: Solve for x
    x = 26,189,680.21/5,398.49
  6. Step 6: Final answer
    x = 4,851.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.