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Finding the Fourth Proportional to 5,713.70, 8,010.70 and 5,713.70

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Solution

The fourth proportional to 5,713.70, 8,010.70 and 5,713.70 is: 8,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.70 : 8,010.70 = 5,713.70 : x
  2. Step 2: Convert to fraction form
    5,713.70/8,010.70 = 5,713.70/x
  3. Step 3: Cross multiply
    5,713.70x = 8,010.70 × 5,713.70
  4. Step 4: Simplify right side
    5,713.70x = 45,770,736.59
  5. Step 5: Solve for x
    x = 45,770,736.59/5,713.70
  6. Step 6: Final answer
    x = 8,010.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.