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Finding the Fourth Proportional to 5,720.80, 7,894.28 and 3,202.56

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Solution

The fourth proportional to 5,720.80, 7,894.28 and 3,202.56 is: 4,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.80 : 7,894.28 = 3,202.56 : x
  2. Step 2: Convert to fraction form
    5,720.80/7,894.28 = 3,202.56/x
  3. Step 3: Cross multiply
    5,720.80x = 7,894.28 × 3,202.56
  4. Step 4: Simplify right side
    5,720.80x = 25,281,905.36
  5. Step 5: Solve for x
    x = 25,281,905.36/5,720.80
  6. Step 6: Final answer
    x = 4,419.30

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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.