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Finding the Fourth Proportional to 5,720.78, 7,894.68 and 3,202.89

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Solution

The fourth proportional to 5,720.78, 7,894.68 and 3,202.89 is: 4,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.78 : 7,894.68 = 3,202.89 : x
  2. Step 2: Convert to fraction form
    5,720.78/7,894.68 = 3,202.89/x
  3. Step 3: Cross multiply
    5,720.78x = 7,894.68 × 3,202.89
  4. Step 4: Simplify right side
    5,720.78x = 25,285,794.42
  5. Step 5: Solve for x
    x = 25,285,794.42/5,720.78
  6. Step 6: Final answer
    x = 4,419.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.