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Finding the Fourth Proportional to 5,674.43, 8,514 and 2,552.28

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Solution

The fourth proportional to 5,674.43, 8,514 and 2,552.28 is: 3,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.43 : 8,514 = 2,552.28 : x
  2. Step 2: Convert to fraction form
    5,674.43/8,514 = 2,552.28/x
  3. Step 3: Cross multiply
    5,674.43x = 8,514 × 2,552.28
  4. Step 4: Simplify right side
    5,674.43x = 21,730,111.92
  5. Step 5: Solve for x
    x = 21,730,111.92/5,674.43
  6. Step 6: Final answer
    x = 3,829.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.