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Finding the Fourth Proportional to 5,674, 8,514.24 and 2,596

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Solution

The fourth proportional to 5,674, 8,514.24 and 2,596 is: 3,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 8,514.24 = 2,596 : x
  2. Step 2: Convert to fraction form
    5,674/8,514.24 = 2,596/x
  3. Step 3: Cross multiply
    5,674x = 8,514.24 × 2,596
  4. Step 4: Simplify right side
    5,674x = 22,102,967.04
  5. Step 5: Solve for x
    x = 22,102,967.04/5,674
  6. Step 6: Final answer
    x = 3,895.48

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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.