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Finding the Fourth Proportional to 5,728.10, 7,999.90 and 5,728.10

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Solution

The fourth proportional to 5,728.10, 7,999.90 and 5,728.10 is: 7,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.10 : 7,999.90 = 5,728.10 : x
  2. Step 2: Convert to fraction form
    5,728.10/7,999.90 = 5,728.10/x
  3. Step 3: Cross multiply
    5,728.10x = 7,999.90 × 5,728.10
  4. Step 4: Simplify right side
    5,728.10x = 45,824,227.19
  5. Step 5: Solve for x
    x = 45,824,227.19/5,728.10
  6. Step 6: Final answer
    x = 7,999.90

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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.