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Finding the Fourth Proportional to 5,795.87, 7,999.69 and 3,406.37

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Solution

The fourth proportional to 5,795.87, 7,999.69 and 3,406.37 is: 4,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.87 : 7,999.69 = 3,406.37 : x
  2. Step 2: Convert to fraction form
    5,795.87/7,999.69 = 3,406.37/x
  3. Step 3: Cross multiply
    5,795.87x = 7,999.69 × 3,406.37
  4. Step 4: Simplify right side
    5,795.87x = 27,249,904.03
  5. Step 5: Solve for x
    x = 27,249,904.03/5,795.87
  6. Step 6: Final answer
    x = 4,701.61

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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.