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Finding the Fourth Proportional to 5,409.60, 8,114.39 and 1,305.60

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Solution

The fourth proportional to 5,409.60, 8,114.39 and 1,305.60 is: 1,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.60 : 8,114.39 = 1,305.60 : x
  2. Step 2: Convert to fraction form
    5,409.60/8,114.39 = 1,305.60/x
  3. Step 3: Cross multiply
    5,409.60x = 8,114.39 × 1,305.60
  4. Step 4: Simplify right side
    5,409.60x = 10,594,147.58
  5. Step 5: Solve for x
    x = 10,594,147.58/5,409.60
  6. Step 6: Final answer
    x = 1,958.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.