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Finding the Fourth Proportional to 5,095.77, 7,647.04 and 2,096.27

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Solution

The fourth proportional to 5,095.77, 7,647.04 and 2,096.27 is: 3,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.77 : 7,647.04 = 2,096.27 : x
  2. Step 2: Convert to fraction form
    5,095.77/7,647.04 = 2,096.27/x
  3. Step 3: Cross multiply
    5,095.77x = 7,647.04 × 2,096.27
  4. Step 4: Simplify right side
    5,095.77x = 16,030,260.54
  5. Step 5: Solve for x
    x = 16,030,260.54/5,095.77
  6. Step 6: Final answer
    x = 3,145.80

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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.