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Finding the Fourth Proportional to 5,185.92, 7,779.72 and 2,065.92

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Solution

The fourth proportional to 5,185.92, 7,779.72 and 2,065.92 is: 3,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.92 : 7,779.72 = 2,065.92 : x
  2. Step 2: Convert to fraction form
    5,185.92/7,779.72 = 2,065.92/x
  3. Step 3: Cross multiply
    5,185.92x = 7,779.72 × 2,065.92
  4. Step 4: Simplify right side
    5,185.92x = 16,072,279.14
  5. Step 5: Solve for x
    x = 16,072,279.14/5,185.92
  6. Step 6: Final answer
    x = 3,099.21

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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.