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Finding the Fourth Proportional to 5,676.48, 8,514.52 and 2,754

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Solution

The fourth proportional to 5,676.48, 8,514.52 and 2,754 is: 4,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.48 : 8,514.52 = 2,754 : x
  2. Step 2: Convert to fraction form
    5,676.48/8,514.52 = 2,754/x
  3. Step 3: Cross multiply
    5,676.48x = 8,514.52 × 2,754
  4. Step 4: Simplify right side
    5,676.48x = 23,448,981.20
  5. Step 5: Solve for x
    x = 23,448,981.20/5,676.48
  6. Step 6: Final answer
    x = 4,130.90

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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.