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Finding the Fourth Proportional to 4,560.83, 6,294.58 and 2,769.20

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Solution

The fourth proportional to 4,560.83, 6,294.58 and 2,769.20 is: 3,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.83 : 6,294.58 = 2,769.20 : x
  2. Step 2: Convert to fraction form
    4,560.83/6,294.58 = 2,769.20/x
  3. Step 3: Cross multiply
    4,560.83x = 6,294.58 × 2,769.20
  4. Step 4: Simplify right side
    4,560.83x = 17,430,918.44
  5. Step 5: Solve for x
    x = 17,430,918.44/4,560.83
  6. Step 6: Final answer
    x = 3,821.88

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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.