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Finding the Fourth Proportional to 5,827.70, 8,744.75 and 2,749.62

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Solution

The fourth proportional to 5,827.70, 8,744.75 and 2,749.62 is: 4,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.70 : 8,744.75 = 2,749.62 : x
  2. Step 2: Convert to fraction form
    5,827.70/8,744.75 = 2,749.62/x
  3. Step 3: Cross multiply
    5,827.70x = 8,744.75 × 2,749.62
  4. Step 4: Simplify right side
    5,827.70x = 24,044,739.50
  5. Step 5: Solve for x
    x = 24,044,739.50/5,827.70
  6. Step 6: Final answer
    x = 4,125.94

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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.