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Finding the Fourth Proportional to 5,739.60, 8,609.40 and 2,823.60

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Solution

The fourth proportional to 5,739.60, 8,609.40 and 2,823.60 is: 4,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.60 : 8,609.40 = 2,823.60 : x
  2. Step 2: Convert to fraction form
    5,739.60/8,609.40 = 2,823.60/x
  3. Step 3: Cross multiply
    5,739.60x = 8,609.40 × 2,823.60
  4. Step 4: Simplify right side
    5,739.60x = 24,309,501.84
  5. Step 5: Solve for x
    x = 24,309,501.84/5,739.60
  6. Step 6: Final answer
    x = 4,235.40

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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.