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Finding the Fourth Proportional to 5,078.68, 7,611.10 and 3,105.00

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Solution

The fourth proportional to 5,078.68, 7,611.10 and 3,105.00 is: 4,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.68 : 7,611.10 = 3,105.00 : x
  2. Step 2: Convert to fraction form
    5,078.68/7,611.10 = 3,105.00/x
  3. Step 3: Cross multiply
    5,078.68x = 7,611.10 × 3,105.00
  4. Step 4: Simplify right side
    5,078.68x = 23,632,462.81
  5. Step 5: Solve for x
    x = 23,632,462.81/5,078.68
  6. Step 6: Final answer
    x = 4,653.27

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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.