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Finding the Fourth Proportional to 5,770.20, 8,654.16 and 2,846.64

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Solution

The fourth proportional to 5,770.20, 8,654.16 and 2,846.64 is: 4,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.20 : 8,654.16 = 2,846.64 : x
  2. Step 2: Convert to fraction form
    5,770.20/8,654.16 = 2,846.64/x
  3. Step 3: Cross multiply
    5,770.20x = 8,654.16 × 2,846.64
  4. Step 4: Simplify right side
    5,770.20x = 24,635,278.02
  5. Step 5: Solve for x
    x = 24,635,278.02/5,770.20
  6. Step 6: Final answer
    x = 4,269.40

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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.