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Finding the Fourth Proportional to 5,770.77, 8,654.86 and 2,809.14

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Solution

The fourth proportional to 5,770.77, 8,654.86 and 2,809.14 is: 4,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.77 : 8,654.86 = 2,809.14 : x
  2. Step 2: Convert to fraction form
    5,770.77/8,654.86 = 2,809.14/x
  3. Step 3: Cross multiply
    5,770.77x = 8,654.86 × 2,809.14
  4. Step 4: Simplify right side
    5,770.77x = 24,312,713.42
  5. Step 5: Solve for x
    x = 24,312,713.42/5,770.77
  6. Step 6: Final answer
    x = 4,213.08

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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.