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Finding the Fourth Proportional to 5,782.38, 8,676.45 and 2,085.45

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Solution

The fourth proportional to 5,782.38, 8,676.45 and 2,085.45 is: 3,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.38 : 8,676.45 = 2,085.45 : x
  2. Step 2: Convert to fraction form
    5,782.38/8,676.45 = 2,085.45/x
  3. Step 3: Cross multiply
    5,782.38x = 8,676.45 × 2,085.45
  4. Step 4: Simplify right side
    5,782.38x = 18,094,302.65
  5. Step 5: Solve for x
    x = 18,094,302.65/5,782.38
  6. Step 6: Final answer
    x = 3,129.21

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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.