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Finding the Fourth Proportional to 5,157.78, 7,730.33 and 2,380.70

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Solution

The fourth proportional to 5,157.78, 7,730.33 and 2,380.70 is: 3,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.78 : 7,730.33 = 2,380.70 : x
  2. Step 2: Convert to fraction form
    5,157.78/7,730.33 = 2,380.70/x
  3. Step 3: Cross multiply
    5,157.78x = 7,730.33 × 2,380.70
  4. Step 4: Simplify right side
    5,157.78x = 18,403,546.08
  5. Step 5: Solve for x
    x = 18,403,546.08/5,157.78
  6. Step 6: Final answer
    x = 3,568.11

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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.