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Finding the Fourth Proportional to 5,289.93, 7,295.82 and 3,609.60

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Solution

The fourth proportional to 5,289.93, 7,295.82 and 3,609.60 is: 4,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.93 : 7,295.82 = 3,609.60 : x
  2. Step 2: Convert to fraction form
    5,289.93/7,295.82 = 3,609.60/x
  3. Step 3: Cross multiply
    5,289.93x = 7,295.82 × 3,609.60
  4. Step 4: Simplify right side
    5,289.93x = 26,334,991.87
  5. Step 5: Solve for x
    x = 26,334,991.87/5,289.93
  6. Step 6: Final answer
    x = 4,978.33

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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.