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Finding the Fourth Proportional to 5,180.38, 7,765.03 and 2,056.06

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Solution

The fourth proportional to 5,180.38, 7,765.03 and 2,056.06 is: 3,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.38 : 7,765.03 = 2,056.06 : x
  2. Step 2: Convert to fraction form
    5,180.38/7,765.03 = 2,056.06/x
  3. Step 3: Cross multiply
    5,180.38x = 7,765.03 × 2,056.06
  4. Step 4: Simplify right side
    5,180.38x = 15,965,379.86
  5. Step 5: Solve for x
    x = 15,965,379.86/5,180.38
  6. Step 6: Final answer
    x = 3,081.89

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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.