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Finding the Fourth Proportional to 5,676.04, 8,514.10 and 5,428.20

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Solution

The fourth proportional to 5,676.04, 8,514.10 and 5,428.20 is: 8,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.04 : 8,514.10 = 5,428.20 : x
  2. Step 2: Convert to fraction form
    5,676.04/8,514.10 = 5,428.20/x
  3. Step 3: Cross multiply
    5,676.04x = 8,514.10 × 5,428.20
  4. Step 4: Simplify right side
    5,676.04x = 46,216,237.62
  5. Step 5: Solve for x
    x = 46,216,237.62/5,676.04
  6. Step 6: Final answer
    x = 8,142.34

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1.5x scale

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.