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Finding the Fourth Proportional to 5,782.48, 8,676.12 and 3,185.20

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Solution

The fourth proportional to 5,782.48, 8,676.12 and 3,185.20 is: 4,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.48 : 8,676.12 = 3,185.20 : x
  2. Step 2: Convert to fraction form
    5,782.48/8,676.12 = 3,185.20/x
  3. Step 3: Cross multiply
    5,782.48x = 8,676.12 × 3,185.20
  4. Step 4: Simplify right side
    5,782.48x = 27,635,177.42
  5. Step 5: Solve for x
    x = 27,635,177.42/5,782.48
  6. Step 6: Final answer
    x = 4,779.12

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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.