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Finding the Fourth Proportional to 5,799.50, 7,999.71 and 5,090.78

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Solution

The fourth proportional to 5,799.50, 7,999.71 and 5,090.78 is: 7,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.50 : 7,999.71 = 5,090.78 : x
  2. Step 2: Convert to fraction form
    5,799.50/7,999.71 = 5,090.78/x
  3. Step 3: Cross multiply
    5,799.50x = 7,999.71 × 5,090.78
  4. Step 4: Simplify right side
    5,799.50x = 40,724,793.22
  5. Step 5: Solve for x
    x = 40,724,793.22/5,799.50
  6. Step 6: Final answer
    x = 7,022.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.