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Finding the Fourth Proportional to 5,770.48, 8,659.76 and 3,143.28

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Solution

The fourth proportional to 5,770.48, 8,659.76 and 3,143.28 is: 4,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.48 : 8,659.76 = 3,143.28 : x
  2. Step 2: Convert to fraction form
    5,770.48/8,659.76 = 3,143.28/x
  3. Step 3: Cross multiply
    5,770.48x = 8,659.76 × 3,143.28
  4. Step 4: Simplify right side
    5,770.48x = 27,220,050.41
  5. Step 5: Solve for x
    x = 27,220,050.41/5,770.48
  6. Step 6: Final answer
    x = 4,717.12

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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.