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Finding the Fourth Proportional to 5,770.74, 8,648.75 and 2,809.89

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Solution

The fourth proportional to 5,770.74, 8,648.75 and 2,809.89 is: 4,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.74 : 8,648.75 = 2,809.89 : x
  2. Step 2: Convert to fraction form
    5,770.74/8,648.75 = 2,809.89/x
  3. Step 3: Cross multiply
    5,770.74x = 8,648.75 × 2,809.89
  4. Step 4: Simplify right side
    5,770.74x = 24,302,022.09
  5. Step 5: Solve for x
    x = 24,302,022.09/5,770.74
  6. Step 6: Final answer
    x = 4,211.25

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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.