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Finding the Fourth Proportional to 5,780.92, 8,656.74 and 4,147.96

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Solution

The fourth proportional to 5,780.92, 8,656.74 and 4,147.96 is: 6,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.92 : 8,656.74 = 4,147.96 : x
  2. Step 2: Convert to fraction form
    5,780.92/8,656.74 = 4,147.96/x
  3. Step 3: Cross multiply
    5,780.92x = 8,656.74 × 4,147.96
  4. Step 4: Simplify right side
    5,780.92x = 35,907,811.25
  5. Step 5: Solve for x
    x = 35,907,811.25/5,780.92
  6. Step 6: Final answer
    x = 6,211.44

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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.