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Finding the Fourth Proportional to 5,709.12, 8,565.48 and 3,514.80

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Solution

The fourth proportional to 5,709.12, 8,565.48 and 3,514.80 is: 5,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.12 : 8,565.48 = 3,514.80 : x
  2. Step 2: Convert to fraction form
    5,709.12/8,565.48 = 3,514.80/x
  3. Step 3: Cross multiply
    5,709.12x = 8,565.48 × 3,514.80
  4. Step 4: Simplify right side
    5,709.12x = 30,105,949.10
  5. Step 5: Solve for x
    x = 30,105,949.10/5,709.12
  6. Step 6: Final answer
    x = 5,273.31

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