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Finding the Fourth Proportional to 5,514.16, 8,269.08 and 2,434

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Solution

The fourth proportional to 5,514.16, 8,269.08 and 2,434 is: 3,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.16 : 8,269.08 = 2,434 : x
  2. Step 2: Convert to fraction form
    5,514.16/8,269.08 = 2,434/x
  3. Step 3: Cross multiply
    5,514.16x = 8,269.08 × 2,434
  4. Step 4: Simplify right side
    5,514.16x = 20,126,940.72
  5. Step 5: Solve for x
    x = 20,126,940.72/5,514.16
  6. Step 6: Final answer
    x = 3,650.05

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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.