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Finding the Fourth Proportional to 5,789.96, 7,989.88 and 3,237.64

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Solution

The fourth proportional to 5,789.96, 7,989.88 and 3,237.64 is: 4,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.96 : 7,989.88 = 3,237.64 : x
  2. Step 2: Convert to fraction form
    5,789.96/7,989.88 = 3,237.64/x
  3. Step 3: Cross multiply
    5,789.96x = 7,989.88 × 3,237.64
  4. Step 4: Simplify right side
    5,789.96x = 25,868,355.08
  5. Step 5: Solve for x
    x = 25,868,355.08/5,789.96
  6. Step 6: Final answer
    x = 4,467.80

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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.