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Finding the Fourth Proportional to 5,798.92, 7,999.34 and 3,670.56

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Solution

The fourth proportional to 5,798.92, 7,999.34 and 3,670.56 is: 5,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.92 : 7,999.34 = 3,670.56 : x
  2. Step 2: Convert to fraction form
    5,798.92/7,999.34 = 3,670.56/x
  3. Step 3: Cross multiply
    5,798.92x = 7,999.34 × 3,670.56
  4. Step 4: Simplify right side
    5,798.92x = 29,362,057.43
  5. Step 5: Solve for x
    x = 29,362,057.43/5,798.92
  6. Step 6: Final answer
    x = 5,063.37

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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.